164015514336040 has 48 divisors (see below), whose sum is σ = 378255291768540. Its totient is φ = 64006054348800.

The previous prime is 164015514335927. The next prime is 164015514336053. The reversal of 164015514336040 is 40633415510461.

164015514336040 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 6 ways, for example, as 28293526935556 + 135721987400484 = 5319166^2 + 11649978^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1219560321 + ... + 1219694800.

Almost surely, 2^{164015514336040} is an apocalyptic number.

164015514336040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164015514336040 is an abundant number, since it is smaller than the sum of its proper divisors (214239777432500).

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

164015514336040 is a wasteful number, since it uses less digits than its factorization.

164015514336040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439255214 (or 2439255169 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 164015514336040 in words is "one hundred sixty-four trillion, fifteen billion, five hundred fourteen million, three hundred thirty-six thousand, forty".