10114697564928 has 432 divisors, whose sum is σ = 32708909050272. Its totient is φ = 2979422208000.

The previous prime is 10114697564861. The next prime is 10114697564947. The reversal of 10114697564928 is 82946579641101.

10114697564928 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 6 + 97 + 56 + 492 + 8 = 666.

It is a super-3 number, since 3×10114697564928³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287814238 + ... + 287849378.

It is an arithmetic number, because the mean of its divisors is an integer number (75715067246).

Almost surely, 2^{10114697564928} is an apocalyptic number.

10114697564928 is a gapful number since it is divisible by the number (18) 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 10114697564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354454525136).

10114697564928 is an abundant number, since it is smaller than the sum of its proper divisors (22594211485344).

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

10114697564928 is a wasteful number, since it uses less digits than its factorization.

10114697564928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35492 (or 35475 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 10114697564928 in words is "ten trillion, one hundred fourteen billion, six hundred ninety-seven million, five hundred sixty-four thousand, nine hundred twenty-eight".