10354868832 has 96 divisors (see below), whose sum is σ = 33888685824. Its totient is φ = 2689574400.

The previous prime is 10354868807. The next prime is 10354868863. The reversal of 10354868832 is 23886845301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10354868832³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 693019 + ... + 707802.

It is an arithmetic number, because the mean of its divisors is an integer number (353007144).

Almost surely, 2^10354868832 is an apocalyptic number.

10354868832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10354868832 is an abundant number, since it is smaller than the sum of its proper divisors (23533816992).

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

10354868832 is a wasteful number, since it uses less digits than its factorization.

10354868832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400852 (or 1400844 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 10354868832 in words is "ten billion, three hundred fifty-four million, eight hundred sixty-eight thousand, eight hundred thirty-two".