164687138496 has 112 divisors (see below), whose sum is σ = 485698088800. Its totient is φ = 54720147456.

The previous prime is 164687138477. The next prime is 164687138503. The reversal of 164687138496 is 694831786461.

It is a happy number.

164687138496 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 8 + 7 + 138 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388620 + ... + 693108.

Almost surely, 2^164687138496 is an apocalyptic number.

164687138496 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 164687138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242849044400).

164687138496 is an abundant number, since it is smaller than the sum of its proper divisors (321010950304).

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

164687138496 is a wasteful number, since it uses less digits than its factorization.

164687138496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304823 (or 304807 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 164687138496 in words is "one hundred sixty-four billion, six hundred eighty-seven million, one hundred thirty-eight thousand, four hundred ninety-six".