164461638510 has 144 divisors (see below), whose sum is σ = 490260171024. Its totient is φ = 38101459968.

The previous prime is 164461638491. The next prime is 164461638569. The reversal of 164461638510 is 15836164461.

164461638510 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 6 + 1 + 638 + 5 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59452 + ... + 576591.

It is an arithmetic number, because the mean of its divisors is an integer number (3404584521).

Almost surely, 2^164461638510 is an apocalyptic number.

164461638510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164461638510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245130085512).

164461638510 is an abundant number, since it is smaller than the sum of its proper divisors (325798532514).

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

164461638510 is a wasteful number, since it uses less digits than its factorization.

164461638510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636099 (or 636083 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 164461638510 in words is "one hundred sixty-four billion, four hundred sixty-one million, six hundred thirty-eight thousand, five hundred ten".