164145474072 has 48 divisors (see below), whose sum is σ = 445990175280. Its totient is φ = 54539217600.

The previous prime is 164145474067. The next prime is 164145474137. The reversal of 164145474072 is 270474541461.

164145474072 is a `hidden beast` number, since 1 + 64 + 1 + 4 + 547 + 40 + 7 + 2 = 666.

It is a super-2 number, since 2×164145474072² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 3642879 + ... + 3687662.

It is an arithmetic number, because the mean of its divisors is an integer number (9291461985).

Almost surely, 2^164145474072 is an apocalyptic number.

164145474072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164145474072 is an abundant number, since it is smaller than the sum of its proper divisors (281844701208).

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

164145474072 is a wasteful number, since it uses less digits than its factorization.

164145474072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7330864 (or 7330857 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 164145474072 in words is "one hundred sixty-four billion, one hundred forty-five million, four hundred seventy-four thousand, seventy-two".