13777455456 has 96 divisors (see below), whose sum is σ = 40454316000. Its totient is φ = 4561620480.

The previous prime is 13777455451. The next prime is 13777455479. The reversal of 13777455456 is 65455477731.

13777455456 is a `hidden beast` number, since 1 + 3 + 77 + 74 + 55 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13777455451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75226 + ... + 182246.

It is an arithmetic number, because the mean of its divisors is an integer number (421399125).

Almost surely, 2^13777455456 is an apocalyptic number.

13777455456 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 13777455456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20227158000).

13777455456 is an abundant number, since it is smaller than the sum of its proper divisors (26676860544).

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

13777455456 is a wasteful number, since it uses less digits than its factorization.

13777455456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107189 (or 107175 counting only the distinct ones).

The product of its digits is 12348000, while the sum is 54.

The spelling of 13777455456 in words is "thirteen billion, seven hundred seventy-seven million, four hundred fifty-five thousand, four hundred fifty-six".