13735888790416 has 135 divisors (see below), whose sum is σ = 29035064857617. Its totient is φ = 6292231320960.

The previous prime is 13735888790399. The next prime is 13735888790417. The reversal of 13735888790416 is 61409788853731.

The square root of 13735888790416 is 3706196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2031936211600 + 11703952578816 = 1425460^2 + 3421104^2 .

It is not an unprimeable number, because it can be changed into a prime (13735888790417) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50685936361 + ... + 50685936631.

Almost surely, 2^{13735888790416} is an apocalyptic number.

13735888790416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13735888790416 is the 3706196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13735888790416

13735888790416 is an abundant number, since it is smaller than the sum of its proper divisors (15299176067201).

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

13735888790416 is an frugal number, since it uses more digits than its factorization.

13735888790416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 70.

The spelling of 13735888790416 in words is "thirteen trillion, seven hundred thirty-five billion, eight hundred eighty-eight million, seven hundred ninety thousand, four hundred sixteen".