13747815480960 has 1728 divisors, whose sum is σ = 55719967965480. Its totient is φ = 3120353280000.

The previous prime is 13747815480899. The next prime is 13747815480983. The reversal of 13747815480960 is 6908451874731.

13747815480960 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 7 + 81 + 548 + 0 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13079332639296 + 668482841664 = 3616536^2 + 817608^2 .

It is a super-2 number, since 2×13747815480960² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25411858290 + ... + 25411858830.

Almost surely, 2^{13747815480960} is an apocalyptic number.

13747815480960 is a gapful number since it is divisible by the number (10) 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 13747815480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27859983982740).

13747815480960 is an abundant number, since it is smaller than the sum of its proper divisors (41972152484520).

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

13747815480960 is a wasteful number, since it uses less digits than its factorization.

13747815480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 13747815480960 in words is "thirteen trillion, seven hundred forty-seven billion, eight hundred fifteen million, four hundred eighty thousand, nine hundred sixty".