164719892064 has 96 divisors (see below), whose sum is σ = 532171987200. Its totient is φ = 43442606592.

The previous prime is 164719892047. The next prime is 164719892069. The reversal of 164719892064 is 460298917461.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 164719891995 and 164719892013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164719892069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9418914 + ... + 9436385.

It is an arithmetic number, because the mean of its divisors is an integer number (5543458200).

Almost surely, 2^164719892064 is an apocalyptic number.

164719892064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164719892064 is an abundant number, since it is smaller than the sum of its proper divisors (367452095136).

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

164719892064 is a wasteful number, since it uses less digits than its factorization.

164719892064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18855332 (or 18855324 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 164719892064 in words is "one hundred sixty-four billion, seven hundred nineteen million, eight hundred ninety-two thousand, sixty-four".