13763274919056 has 160 divisors (see below), whose sum is σ = 44011651824000. Its totient is φ = 4088824330752.

The previous prime is 13763274919033. The next prime is 13763274919067. The reversal of 13763274919056 is 65091947236731.

It is a happy number.

13763274919056 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 3 + 2 + 7 + 491 + 90 + 56 = 666.

It is a super-2 number, since 2×13763274919056² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13763274918984 and 13763274919002.

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, 42091026 + ... + 42416753.

It is an arithmetic number, because the mean of its divisors is an integer number (275072823900).

Almost surely, 2^{13763274919056} is an apocalyptic number.

13763274919056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13763274919056 is an abundant number, since it is smaller than the sum of its proper divisors (30248376904944).

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

13763274919056 is a wasteful number, since it uses less digits than its factorization.

13763274919056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84507838 (or 84507826 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 13763274919056 in words is "thirteen trillion, seven hundred sixty-three billion, two hundred seventy-four million, nine hundred nineteen thousand, fifty-six".