10874446203264 has 384 divisors, whose sum is σ = 35382841200000. Its totient is φ = 2942364966912.

The previous prime is 10874446203263. The next prime is 10874446203281. The reversal of 10874446203264 is 46230264447801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10874446203263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576231687 + ... + 1576238585.

It is an arithmetic number, because the mean of its divisors is an integer number (92142815625).

Almost surely, 2^{10874446203264} is an apocalyptic number.

10874446203264 is a gapful number since it is divisible by the number (14) 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 10874446203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17691420600000).

10874446203264 is an abundant number, since it is smaller than the sum of its proper divisors (24508394996736).

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

10874446203264 is a wasteful number, since it uses less digits than its factorization.

10874446203264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11358 (or 11339 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 10874446203264 in words is "ten trillion, eight hundred seventy-four billion, four hundred forty-six million, two hundred three thousand, two hundred sixty-four".