153363168072 has 256 divisors, whose sum is σ = 460094976000. Its totient is φ = 47176867584.

The previous prime is 153363168047. The next prime is 153363168107. The reversal of 153363168072 is 270861363351.

153363168072 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 631 + 6 + 8 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×153363168072² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 81705598 + ... + 81707474.

It is an arithmetic number, because the mean of its divisors is an integer number (1797246000).

Almost surely, 2^153363168072 is an apocalyptic number.

153363168072 is a gapful number since it is divisible by the number (12) 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 153363168072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230047488000).

153363168072 is an abundant number, since it is smaller than the sum of its proper divisors (306731807928).

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

153363168072 is a wasteful number, since it uses less digits than its factorization.

153363168072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 153363168072 in words is "one hundred fifty-three billion, three hundred sixty-three million, one hundred sixty-eight thousand, seventy-two".