164254314480 has 320 divisors, whose sum is σ = 546598348800. Its totient is φ = 40679055360.

The previous prime is 164254314443. The next prime is 164254314509. The reversal of 164254314480 is 84413452461.

It is a congruent number.

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, 102083916 + ... + 102085524.

It is an arithmetic number, because the mean of its divisors is an integer number (1708119840).

Almost surely, 2^164254314480 is an apocalyptic number.

164254314480 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 164254314480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273299174400).

164254314480 is an abundant number, since it is smaller than the sum of its proper divisors (382344034320).

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

164254314480 is a wasteful number, since it uses less digits than its factorization.

164254314480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 164254314480 in words is "one hundred sixty-four billion, two hundred fifty-four million, three hundred fourteen thousand, four hundred eighty".