13540714403652 has 96 divisors (see below), whose sum is σ = 35510703782400. Its totient is φ = 4461511608576.

The previous prime is 13540714403647. The next prime is 13540714403683. The reversal of 13540714403652 is 25630441704531.

13540714403652 is a `hidden beast` number, since 1 + 3 + 540 + 7 + 1 + 4 + 40 + 3 + 65 + 2 = 666.

It is a super-2 number, since 2×13540714403652² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13540714403598 and 13540714403607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31922218 + ... + 32343614.

It is an arithmetic number, because the mean of its divisors is an integer number (369903164400).

Almost surely, 2^{13540714403652} is an apocalyptic number.

13540714403652 is a gapful number since it is divisible by the number (12) 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 13540714403652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755351891200).

13540714403652 is an abundant number, since it is smaller than the sum of its proper divisors (21969989378748).

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

13540714403652 is a wasteful number, since it uses less digits than its factorization.

13540714403652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424842 (or 424834 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 13540714403652 in words is "thirteen trillion, five hundred forty billion, seven hundred fourteen million, four hundred three thousand, six hundred fifty-two".