164748612096 has 640 divisors, whose sum is σ = 544465152000. Its totient is φ = 48966156288.

The previous prime is 164748612079. The next prime is 164748612109. The reversal of 164748612096 is 690216847461.

164748612096 is a `hidden beast` number, since 1 + 6 + 474 + 8 + 61 + 20 + 96 = 666.

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

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, 327531781 + ... + 327532283.

It is an arithmetic number, because the mean of its divisors is an integer number (850726800).

Almost surely, 2^164748612096 is an apocalyptic number.

164748612096 is a gapful number since it is divisible by the number (16) 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 164748612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272232576000).

164748612096 is an abundant number, since it is smaller than the sum of its proper divisors (379716539904).

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

164748612096 is a wasteful number, since it uses less digits than its factorization.

164748612096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 599 counting only the distinct ones).

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

The spelling of 164748612096 in words is "one hundred sixty-four billion, seven hundred forty-eight million, six hundred twelve thousand, ninety-six".