4713996413952 has 1320 divisors, whose sum is σ = 17239966318080. Its totient is φ = 1276826664960.

The previous prime is 4713996413909. The next prime is 4713996414047. The reversal of 4713996413952 is 2593146993174.

It is a happy number.

4713996413952 is a `hidden beast` number, since 4 + 7 + 1 + 399 + 64 + 139 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4713996413952.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 19723834249 + ... + 19723834487.

It is an arithmetic number, because the mean of its divisors is an integer number (13060580544).

Almost surely, 2^{4713996413952} is an apocalyptic number.

4713996413952 is a gapful number since it is divisible by the number (42) 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 4713996413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8619983159040).

4713996413952 is an abundant number, since it is smaller than the sum of its proper divisors (12525969904128).

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

4713996413952 is a wasteful number, since it uses less digits than its factorization.

4713996413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 485 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 4713996413952 in words is "four trillion, seven hundred thirteen billion, nine hundred ninety-six million, four hundred thirteen thousand, nine hundred fifty-two".