15414313401252 has 18 divisors (see below), whose sum is σ = 38963958875478. Its totient is φ = 5138104467072.

The previous prime is 15414313401247. The next prime is 15414313401313. The reversal of 15414313401252 is 25210431341451.

15414313401252 is a `hidden beast` number, since 1 + 54 + 1 + 4 + 313 + 40 + 1 + 252 = 666.

15414313401252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14710415893056 + 703897508196 = 3835416^2 + 838986^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 428175372257 = 15414313401252 / (1 + 5 + 4 + 1 + 4 + 3 + 1 + 3 + 4 + 0 + 1 + 2 + 5 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214087686093 + ... + 214087686164.

It is an arithmetic number, because the mean of its divisors is an integer number (2164664381971).

Almost surely, 2^{15414313401252} is an apocalyptic number.

15414313401252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15414313401252 is an abundant number, since it is smaller than the sum of its proper divisors (23549645474226).

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

15414313401252 is a wasteful number, since it uses less digits than its factorization.

15414313401252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428175372267 (or 428175372262 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 15414313401252 in words is "fifteen trillion, four hundred fourteen billion, three hundred thirteen million, four hundred one thousand, two hundred fifty-two".