164920458816 has 63 divisors (see below), whose sum is σ = 472742656113. Its totient is φ = 54970237440.

The previous prime is 164920458811. The next prime is 164920458823. The reversal of 164920458816 is 618854029461.

The square root of 164920458816 is 406104.

It is a perfect power (a square), and thus also a powerful number.

164920458816 is a `hidden beast` number, since 1 + 6 + 49 + 2 + 0 + 4 + 588 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118264458816 + 46656000000 = 343896^2 + 216000^2 .

It is not an unprimeable number, because it can be changed into a prime (164920458811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9738036 + ... + 9754956.

Almost surely, 2^164920458816 is an apocalyptic number.

164920458816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164920458816 is the 406104-th square number.

It is an amenable number.

164920458816 is an abundant number, since it is smaller than the sum of its proper divisors (307822197297).

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

164920458816 is an frugal number, since it uses more digits than its factorization.

164920458816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33860 (or 16926 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 164920458816 in words is "one hundred sixty-four billion, nine hundred twenty million, four hundred fifty-eight thousand, eight hundred sixteen".