164014156259352 has 128 divisors (see below), whose sum is σ = 521209550361600. Its totient is φ = 46813515473664.

The previous prime is 164014156259311. The next prime is 164014156259383. The reversal of 164014156259352 is 253952651410461.

It is a happy number.

164014156259352 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 1 + 4 + 1 + 5 + 625 + 9 + 3 + 5 + 2 = 666.

164014156259352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 53689173 + ... + 56661764.

It is an arithmetic number, because the mean of its divisors is an integer number (4071949612200).

Almost surely, 2^{164014156259352} is an apocalyptic number.

164014156259352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164014156259352 is an abundant number, since it is smaller than the sum of its proper divisors (357195394102248).

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

164014156259352 is a wasteful number, since it uses less digits than its factorization.

164014156259352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110351942 (or 110351932 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 164014156259352 in words is "one hundred sixty-four trillion, fourteen billion, one hundred fifty-six million, two hundred fifty-nine thousand, three hundred fifty-two".