13456438715376 has 320 divisors, whose sum is σ = 40448750400000. Its totient is φ = 4278846394368.

The previous prime is 13456438715371. The next prime is 13456438715411. The reversal of 13456438715376 is 67351783465431.

13456438715376 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 64 + 38 + 7 + 1 + 537 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13456438715371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357399400 + ... + 357437048.

It is an arithmetic number, because the mean of its divisors is an integer number (126402345000).

Almost surely, 2^{13456438715376} is an apocalyptic number.

13456438715376 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 13456438715376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20224375200000).

13456438715376 is an abundant number, since it is smaller than the sum of its proper divisors (26992311684624).

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

13456438715376 is a wasteful number, since it uses less digits than its factorization.

13456438715376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38141 (or 38129 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 13456438715376 in words is "thirteen trillion, four hundred fifty-six billion, four hundred thirty-eight million, seven hundred fifteen thousand, three hundred seventy-six".