164805158472192 has 240 divisors, whose sum is σ = 567221483537280. Its totient is φ = 45039918882816.

The previous prime is 164805158472181. The next prime is 164805158472193. The reversal of 164805158472192 is 291274851508461.

164805158472192 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 0 + 5 + 158 + 472 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (164805158472193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110329567 + ... + 111813342.

It is an arithmetic number, because the mean of its divisors is an integer number (2363422848072).

Almost surely, 2^{164805158472192} is an apocalyptic number.

164805158472192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164805158472192 is an abundant number, since it is smaller than the sum of its proper divisors (402416325065088).

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

164805158472192 is a wasteful number, since it uses less digits than its factorization.

164805158472192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222142963 (or 222142944 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 164805158472192 in words is "one hundred sixty-four trillion, eight hundred five billion, one hundred fifty-eight million, four hundred seventy-two thousand, one hundred ninety-two".