4726965454848 has 2592 divisors, whose sum is σ = 18906659815680. Its totient is φ = 1173850030080.

The previous prime is 4726965454843. The next prime is 4726965454853. The reversal of 4726965454848 is 8484545696274.

4726965454848 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 96 + 5 + 454 + 84 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4726965454843) and next prime (4726965454853).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×4726965454848² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4726965454843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 127755823086 + ... + 127755823122.

It is an arithmetic number, because the mean of its divisors is an integer number (7294236040).

Almost surely, 2^{4726965454848} is an apocalyptic number.

4726965454848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4726965454848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9453329907840).

4726965454848 is an abundant number, since it is smaller than the sum of its proper divisors (14179694360832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4726965454848 is a wasteful number, since it uses less digits than its factorization.

4726965454848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 93 counting only the distinct ones).

The product of its digits is 1857945600, while the sum is 72.

The spelling of 4726965454848 in words is "four trillion, seven hundred twenty-six billion, nine hundred sixty-five million, four hundred fifty-four thousand, eight hundred forty-eight".