164588651136 has 1152 divisors, whose sum is σ = 628163164800. Its totient is φ = 42796615680.

The previous prime is 164588651081. The next prime is 164588651159. The reversal of 164588651136 is 631156885461.

164588651136 is a `hidden beast` number, since 1 + 6 + 4 + 588 + 6 + 51 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

Its product of digits (4147200) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2318149981 + ... + 2318150051.

It is an arithmetic number, because the mean of its divisors is an integer number (545280525).

Almost surely, 2^164588651136 is an apocalyptic number.

164588651136 is a gapful number since it is divisible by the number (16) 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 164588651136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314081582400).

164588651136 is an abundant number, since it is smaller than the sum of its proper divisors (463574513664).

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

164588651136 is an frugal number, since it uses more digits than its factorization.

164588651136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 164588651136 in words is "one hundred sixty-four billion, five hundred eighty-eight million, six hundred fifty-one thousand, one hundred thirty-six".