164454815880 has 384 divisors, whose sum is σ = 561796560000. Its totient is φ = 41666752512.

The previous prime is 164454815857. The next prime is 164454815887. The reversal of 164454815880 is 88518454461.

164454815880 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 54 + 8 + 1 + 588 + 0 = 666.

It is a super-2 number, since 2×164454815880² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164454815887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352151407 + ... + 352151873.

It is an arithmetic number, because the mean of its divisors is an integer number (1463011875).

Almost surely, 2^164454815880 is an apocalyptic number.

164454815880 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 164454815880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280898280000).

164454815880 is an abundant number, since it is smaller than the sum of its proper divisors (397341744120).

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

164454815880 is a wasteful number, since it uses less digits than its factorization.

164454815880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 164454815880 in words is "one hundred sixty-four billion, four hundred fifty-four million, eight hundred fifteen thousand, eight hundred eighty".