13747458816 has 1296 divisors, whose sum is σ = 57252031200. Its totient is φ = 3121348608.

The previous prime is 13747458773. The next prime is 13747458827. The reversal of 13747458816 is 61885474731.

13747458816 is a `hidden beast` number, since 1 + 3 + 7 + 47 + 4 + 588 + 16 = 666.

It is a super-2 number, since 2×13747458816² (a number of 21 digits) contains 22 as substring.

Its product of digits (4515840) is a multiple of the sum of its prime divisors (90).

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, 474050290 + ... + 474050318.

It is an arithmetic number, because the mean of its divisors is an integer number (44175950).

Almost surely, 2^13747458816 is an apocalyptic number.

13747458816 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 13747458816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28626015600).

13747458816 is an abundant number, since it is smaller than the sum of its proper divisors (43504572384).

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

13747458816 is a wasteful number, since it uses less digits than its factorization.

13747458816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 13747458816 in words is "thirteen billion, seven hundred forty-seven million, four hundred fifty-eight thousand, eight hundred sixteen".