164090460350880 has 4032 divisors, whose sum is σ = 745839932285952. Its totient is φ = 33846009200640.

The previous prime is 164090460350827. The next prime is 164090460350893. The reversal of 164090460350880 is 88053064090461.

164090460350880 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 90 + 46 + 0 + 3 + 508 + 8 + 0 = 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 671 ways as a sum of consecutive naturals, for example, 472883170867 + ... + 472883171213.

It is an arithmetic number, because the mean of its divisors is an integer number (184980141936).

Almost surely, 2^{164090460350880} is an apocalyptic number.

164090460350880 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 164090460350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372919966142976).

164090460350880 is an abundant number, since it is smaller than the sum of its proper divisors (581749471935072).

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

164090460350880 is a wasteful number, since it uses less digits than its factorization.

164090460350880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 164090460350880 in words is "one hundred sixty-four trillion, ninety billion, four hundred sixty million, three hundred fifty thousand, eight hundred eighty".