13856177088 has 224 divisors, whose sum is σ = 44050305600. Its totient is φ = 4245737472.

The previous prime is 13856177077. The next prime is 13856177107. The reversal of 13856177088 is 88077165831.

It is a happy number.

13856177088 is a `hidden beast` number, since 1 + 3 + 8 + 561 + 7 + 70 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6041670 + ... + 6043962.

It is an arithmetic number, because the mean of its divisors is an integer number (196653150).

Almost surely, 2^13856177088 is an apocalyptic number.

13856177088 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 13856177088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22025152800).

13856177088 is an abundant number, since it is smaller than the sum of its proper divisors (30194128512).

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

13856177088 is a wasteful number, since it uses less digits than its factorization.

13856177088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 13856177088 in words is "thirteen billion, eight hundred fifty-six million, one hundred seventy-seven thousand, eighty-eight".