164614678272 has 576 divisors, whose sum is σ = 552441200640. Its totient is φ = 47900160000.

The previous prime is 164614678231. The next prime is 164614678381. The reversal of 164614678272 is 272876416461.

164614678272 is a `hidden beast` number, since 1 + 6 + 461 + 46 + 78 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 497325147 + ... + 497325477.

Almost surely, 2^164614678272 is an apocalyptic number.

164614678272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164614678272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276220600320).

164614678272 is an abundant number, since it is smaller than the sum of its proper divisors (387826522368).

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

164614678272 is a wasteful number, since it uses less digits than its factorization.

164614678272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 589 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 164614678272 in words is "one hundred sixty-four billion, six hundred fourteen million, six hundred seventy-eight thousand, two hundred seventy-two".