13758087981456 has 720 divisors, whose sum is σ = 50043865737600. Its totient is φ = 3606622516224.

The previous prime is 13758087981427. The next prime is 13758087981461. The reversal of 13758087981456 is 65418978085731.

13758087981456 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 8 + 0 + 87 + 98 + 1 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 597412950 + ... + 597435978.

It is an arithmetic number, because the mean of its divisors is an integer number (69505369080).

Almost surely, 2^{13758087981456} is an apocalyptic number.

13758087981456 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 13758087981456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25021932868800).

13758087981456 is an abundant number, since it is smaller than the sum of its proper divisors (36285777756144).

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

13758087981456 is a wasteful number, since it uses less digits than its factorization.

13758087981456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23253 (or 23221 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 13758087981456 in words is "thirteen trillion, seven hundred fifty-eight billion, eighty-seven million, nine hundred eighty-one thousand, four hundred fifty-six".