164961456 has 40 divisors (see below), whose sum is σ = 464892864. Its totient is φ = 49988160.

The previous prime is 164961427. The next prime is 164961469. The reversal of 164961456 is 654169461.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155686 + ... + 156741.

Almost surely, 2^164961456 is an apocalyptic number.

164961456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164961456 is an abundant number, since it is smaller than the sum of its proper divisors (299931408).

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

164961456 is a wasteful number, since it uses less digits than its factorization.

164961456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312449 (or 312443 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 164961456 is about 12843.7321678708. The cubic root of 164961456 is about 548.4379435569.

The spelling of 164961456 in words is "one hundred sixty-four million, nine hundred sixty-one thousand, four hundred fifty-six".