10874014336 has 128 divisors (see below), whose sum is σ = 24566169600. Its totient is φ = 4767206400.

The previous prime is 10874014303. The next prime is 10874014363. The reversal of 10874014336 is 63341047801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10874014295 and 10874014304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1730881 + ... + 1737151.

It is an arithmetic number, because the mean of its divisors is an integer number (191923200).

Almost surely, 2^10874014336 is an apocalyptic number.

10874014336 is a gapful number since it is divisible by the number (16) 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 10874014336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12283084800).

10874014336 is an abundant number, since it is smaller than the sum of its proper divisors (13692155264).

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

10874014336 is a wasteful number, since it uses less digits than its factorization.

10874014336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 10874014336 in words is "ten billion, eight hundred seventy-four million, fourteen thousand, three hundred thirty-six".