913507410816 has 2048 divisors, whose sum is σ = 3923458560000. Its totient is φ = 205488783360.

The previous prime is 913507410793. The next prime is 913507410887. The reversal of 913507410816 is 618014705319.

913507410816 is a `hidden beast` number, since 91 + 3 + 507 + 41 + 0 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2881726690 + ... + 2881727006.

It is an arithmetic number, because the mean of its divisors is an integer number (1915751250).

Almost surely, 2^913507410816 is an apocalyptic number.

913507410816 is a gapful number since it is divisible by the number (96) 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 913507410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961729280000).

913507410816 is an abundant number, since it is smaller than the sum of its proper divisors (3009951149184).

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

913507410816 is a wasteful number, since it uses less digits than its factorization.

913507410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 913507410816 in words is "nine hundred thirteen billion, five hundred seven million, four hundred ten thousand, eight hundred sixteen".