164552745024 has 224 divisors, whose sum is σ = 492811612800. Its totient is φ = 53828167680.

The previous prime is 164552745001. The next prime is 164552745047. The reversal of 164552745024 is 420547255461.

164552745024 is a `hidden beast` number, since 1 + 6 + 4 + 552 + 74 + 5 + 0 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (164552745001) and next prime (164552745047).

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, 53651139 + ... + 53654205.

Almost surely, 2^164552745024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164552745024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246405806400).

164552745024 is an abundant number, since it is smaller than the sum of its proper divisors (328258867776).

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

164552745024 is a wasteful number, since it uses less digits than its factorization.

164552745024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 164552745024 in words is "one hundred sixty-four billion, five hundred fifty-two million, seven hundred forty-five thousand, twenty-four".