164339715456 has 480 divisors, whose sum is σ = 578356487280. Its totient is φ = 46175754240.

The previous prime is 164339715401. The next prime is 164339715457. The reversal of 164339715456 is 654517933461.

164339715456 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 3 + 97 + 1 + 545 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164339715457) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30987301 + ... + 30992603.

Almost surely, 2^164339715456 is an apocalyptic number.

164339715456 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 164339715456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289178243640).

164339715456 is an abundant number, since it is smaller than the sum of its proper divisors (414016771824).

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

164339715456 is an equidigital number, since it uses as much as digits as its factorization.

164339715456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404 (or 5376 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 164339715456 in words is "one hundred sixty-four billion, three hundred thirty-nine million, seven hundred fifteen thousand, four hundred fifty-six".