13435465305136 has 80 divisors (see below), whose sum is σ = 30026956151808. Its totient is φ = 5704590528000.

The previous prime is 13435465305091. The next prime is 13435465305137. The reversal of 13435465305136 is 63150356453431.

It is a self number, because there is not a number n which added to its sum of digits gives 13435465305136.

It is not an unprimeable number, because it can be changed into a prime (13435465305137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8056041 + ... + 9579703.

Almost surely, 2^{13435465305136} is an apocalyptic number.

13435465305136 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 13435465305136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15013478075904).

13435465305136 is an abundant number, since it is smaller than the sum of its proper divisors (16591490846672).

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

13435465305136 is a wasteful number, since it uses less digits than its factorization.

13435465305136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524410 (or 1524404 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 49.

The spelling of 13435465305136 in words is "thirteen trillion, four hundred thirty-five billion, four hundred sixty-five million, three hundred five thousand, one hundred thirty-six".