164419214056272 has 120 divisors (see below), whose sum is σ = 527593468898496. Its totient is φ = 46823898935808.

The previous prime is 164419214056213. The next prime is 164419214056309. The reversal of 164419214056272 is 272650412914461.

164419214056272 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 1 + 9 + 2 + 1 + 4 + 0 + 5 + 627 + 2 = 666.

It is a super-3 number, since 3×164419214056272³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265349013 + ... + 265967924.

Almost surely, 2^{164419214056272} is an apocalyptic number.

164419214056272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164419214056272 is an abundant number, since it is smaller than the sum of its proper divisors (363174254842224).

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

164419214056272 is a wasteful number, since it uses less digits than its factorization.

164419214056272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531317265 (or 531317256 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 164419214056272 in words is "one hundred sixty-four trillion, four hundred nineteen billion, two hundred fourteen million, fifty-six thousand, two hundred seventy-two".