164125955952 has 240 divisors, whose sum is σ = 564331023360. Its totient is φ = 43479618048.

The previous prime is 164125955951. The next prime is 164125955953. The reversal of 164125955952 is 259559521461.

164125955952 is a `hidden beast` number, since 1 + 6 + 41 + 2 + 5 + 9 + 5 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (164125955951) and next prime (164125955953).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164125955951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808978 + ... + 991310.

It is an arithmetic number, because the mean of its divisors is an integer number (2351379264).

Almost surely, 2^164125955952 is an apocalyptic number.

164125955952 is a gapful number since it is divisible by the number (12) 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 164125955952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282165511680).

164125955952 is an abundant number, since it is smaller than the sum of its proper divisors (400205067408).

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

164125955952 is a wasteful number, since it uses less digits than its factorization.

164125955952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182420 (or 182411 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 54.

The spelling of 164125955952 in words is "one hundred sixty-four billion, one hundred twenty-five million, nine hundred fifty-five thousand, nine hundred fifty-two".