153324065664 has 384 divisors, whose sum is σ = 551125486080. Its totient is φ = 39748423680.

The previous prime is 153324065633. The next prime is 153324065737. The reversal of 153324065664 is 466560423351.

153324065664 is a `hidden beast` number, since 1 + 53 + 32 + 4 + 0 + 6 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×153324065664² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57922389 + ... + 57925035.

It is an arithmetic number, because the mean of its divisors is an integer number (1435222620).

Almost surely, 2^153324065664 is an apocalyptic number.

153324065664 is a gapful number since it is divisible by the number (14) 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 153324065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275562743040).

153324065664 is an abundant number, since it is smaller than the sum of its proper divisors (397801420416).

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

153324065664 is a wasteful number, since it uses less digits than its factorization.

153324065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 153324065664 in words is "one hundred fifty-three billion, three hundred twenty-four million, sixty-five thousand, six hundred sixty-four".