13777044577128 has 896 divisors, whose sum is σ = 47845556305920. Its totient is φ = 3632317032960.

The previous prime is 13777044577073. The next prime is 13777044577157. The reversal of 13777044577128 is 82177544077731.

13777044577128 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 7 + 0 + 44 + 577 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3133280626 + ... + 3133285022.

Almost surely, 2^{13777044577128} is an apocalyptic number.

13777044577128 is a gapful number since it is divisible by the number (18) 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 13777044577128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23922778152960).

13777044577128 is an abundant number, since it is smaller than the sum of its proper divisors (34068511728792).

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

13777044577128 is a wasteful number, since it uses less digits than its factorization.

13777044577128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4569 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 64538880, while the sum is 63.

The spelling of 13777044577128 in words is "thirteen trillion, seven hundred seventy-seven billion, forty-four million, five hundred seventy-seven thousand, one hundred twenty-eight".