164225197920 has 576 divisors, whose sum is σ = 640083741696. Its totient is φ = 34651668480.

The previous prime is 164225197901. The next prime is 164225197943. The reversal of 164225197920 is 29791522461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 164225197920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51463525 + ... + 51466715.

It is an arithmetic number, because the mean of its divisors is an integer number (1111256496).

Almost surely, 2^164225197920 is an apocalyptic number.

164225197920 is a gapful number since it is divisible by the number (10) 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 164225197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320041870848).

164225197920 is an abundant number, since it is smaller than the sum of its proper divisors (475858543776).

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

164225197920 is a wasteful number, since it uses less digits than its factorization.

164225197920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 164225197920 in words is "one hundred sixty-four billion, two hundred twenty-five million, one hundred ninety-seven thousand, nine hundred twenty".