164794290048 has 320 divisors, whose sum is σ = 506182446000. Its totient is φ = 53187010560.

The previous prime is 164794290043. The next prime is 164794290049. The reversal of 164794290048 is 840092497461.

164794290048 is a `hidden beast` number, since 1 + 6 + 479 + 42 + 90 + 0 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 164794289976 and 164794290003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164794290041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59085838 + ... + 59088626.

Almost surely, 2^164794290048 is an apocalyptic number.

164794290048 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 164794290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253091223000).

164794290048 is an abundant number, since it is smaller than the sum of its proper divisors (341388155952).

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

164794290048 is a wasteful number, since it uses less digits than its factorization.

164794290048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 164794290048 in words is "one hundred sixty-four billion, seven hundred ninety-four million, two hundred ninety thousand, forty-eight".