13435102074016 has 48 divisors (see below), whose sum is σ = 30287001003840. Its totient is φ = 5746849205760.

The previous prime is 13435102074011. The next prime is 13435102074019. The reversal of 13435102074016 is 61047020153431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13435102074011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57443886 + ... + 57677293.

It is an arithmetic number, because the mean of its divisors is an integer number (630979187580).

Almost surely, 2^{13435102074016} is an apocalyptic number.

13435102074016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13435102074016 is an abundant number, since it is smaller than the sum of its proper divisors (16851898929824).

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

13435102074016 is a wasteful number, since it uses less digits than its factorization.

13435102074016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115121717 (or 115121709 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 13435102074016 in words is "thirteen trillion, four hundred thirty-five billion, one hundred two million, seventy-four thousand, sixteen".