164247513120 has 144 divisors (see below), whose sum is σ = 561638593152. Its totient is φ = 43709944320.

The previous prime is 164247513077. The next prime is 164247513139. The reversal of 164247513120 is 21315742461.

164247513120 is a `hidden beast` number, since 1 + 64 + 2 + 475 + 1 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×164247513120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590889 + ... + 823191.

It is an arithmetic number, because the mean of its divisors is an integer number (3900268008).

Almost surely, 2^164247513120 is an apocalyptic number.

164247513120 is a gapful number since it is divisible by the number (10) 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 164247513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280819296576).

164247513120 is an abundant number, since it is smaller than the sum of its proper divisors (397391080032).

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

164247513120 is a wasteful number, since it uses less digits than its factorization.

164247513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232815 (or 232804 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 164247513120 in words is "one hundred sixty-four billion, two hundred forty-seven million, five hundred thirteen thousand, one hundred twenty".