13414446010944 has 84 divisors (see below), whose sum is σ = 41945549951760. Its totient is φ = 4064983637760.

The previous prime is 13414446010891. The next prime is 13414446010993. The reversal of 13414446010944 is 44901064441431.

13414446010944 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 44 + 460 + 109 + 44 = 666.

It is a super-2 number, since 2×13414446010944² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13414446010944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1058583154 + ... + 1058595825.

It is an arithmetic number, because the mean of its divisors is an integer number (499351785140).

Almost surely, 2^{13414446010944} is an apocalyptic number.

It is an amenable number.

13414446010944 is an abundant number, since it is smaller than the sum of its proper divisors (28531103940816).

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

13414446010944 is a wasteful number, since it uses less digits than its factorization.

13414446010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117179008 (or 2117178995 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 13414446010944 in words is "thirteen trillion, four hundred fourteen billion, four hundred forty-six million, ten thousand, nine hundred forty-four".