46268869828608 has 1120 divisors, whose sum is σ = 166530133344960. Its totient is φ = 12521066987520.

The previous prime is 46268869828583. The next prime is 46268869828663. The reversal of 46268869828608 is 80682896886264.

46268869828608 is a `hidden beast` number, since 462 + 6 + 8 + 8 + 6 + 98 + 2 + 8 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7139152728 + ... + 7139159208.

It is an arithmetic number, because the mean of its divisors is an integer number (148687619058).

Almost surely, 2^{46268869828608} is an apocalyptic number.

46268869828608 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 46268869828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83265066672480).

46268869828608 is an abundant number, since it is smaller than the sum of its proper divisors (120261263516352).

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

46268869828608 is an equidigital number, since it uses as much as digits as its factorization.

46268869828608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6608 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 6115295232, while the sum is 81.

The spelling of 46268869828608 in words is "forty-six trillion, two hundred sixty-eight billion, eight hundred sixty-nine million, eight hundred twenty-eight thousand, six hundred eight".