164074002048 has 576 divisors, whose sum is σ = 559971921600. Its totient is φ = 45923328000.

The previous prime is 164074002041. The next prime is 164074002097. The reversal of 164074002048 is 840200470461.

164074002048 is a `hidden beast` number, since 1 + 6 + 40 + 7 + 400 + 204 + 8 = 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 (36).

It is not an unprimeable number, because it can be changed into a prime (164074002041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108585613 + ... + 108587123.

It is an arithmetic number, because the mean of its divisors is an integer number (972173475).

Almost surely, 2^164074002048 is an apocalyptic number.

164074002048 is a gapful number since it is divisible by the number (18) 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 164074002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279985960800).

164074002048 is an abundant number, since it is smaller than the sum of its proper divisors (395897919552).

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

164074002048 is a wasteful number, since it uses less digits than its factorization.

164074002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 164074002048 in words is "one hundred sixty-four billion, seventy-four million, two thousand, forty-eight".