10347754656 has 48 divisors (see below), whose sum is σ = 27168831648. Its totient is φ = 3448492800.

The previous prime is 10347754649. The next prime is 10347754679. The reversal of 10347754656 is 65645774301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 579786 + ... + 597366.

It is an arithmetic number, because the mean of its divisors is an integer number (566017326).

Almost surely, 2^10347754656 is an apocalyptic number.

10347754656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10347754656 is an abundant number, since it is smaller than the sum of its proper divisors (16821076992).

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

10347754656 is a wasteful number, since it uses less digits than its factorization.

10347754656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23725 (or 23717 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 10347754656 in words is "ten billion, three hundred forty-seven million, seven hundred fifty-four thousand, six hundred fifty-six".