164886036480 has 840 divisors, whose sum is σ = 649815221664. Its totient is φ = 39813120000.

The previous prime is 164886036467. The next prime is 164886036487. The reversal of 164886036480 is 84630688461.

164886036480 is a `hidden beast` number, since 16 + 48 + 86 + 0 + 36 + 480 = 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 (164886036487) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 656916355 + ... + 656916605.

Almost surely, 2^164886036480 is an apocalyptic number.

164886036480 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 164886036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324907610832).

164886036480 is an abundant number, since it is smaller than the sum of its proper divisors (484929185184).

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

164886036480 is an frugal number, since it uses more digits than its factorization.

164886036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 164886036480 in words is "one hundred sixty-four billion, eight hundred eighty-six million, thirty-six thousand, four hundred eighty".