164511916600 has 48 divisors (see below), whose sum is σ = 382570714800. Its totient is φ = 65790915840.

The previous prime is 164511916511. The next prime is 164511916663. The reversal of 164511916600 is 6619115461.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 893677 + ... + 1061923.

It is an arithmetic number, because the mean of its divisors is an integer number (7970223225).

Almost surely, 2^164511916600 is an apocalyptic number.

164511916600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164511916600 is an abundant number, since it is smaller than the sum of its proper divisors (218058798200).

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

164511916600 is a wasteful number, since it uses less digits than its factorization.

164511916600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173152 (or 173143 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 164511916600 in words is "one hundred sixty-four billion, five hundred eleven million, nine hundred sixteen thousand, six hundred".