153436668244160 has 672 divisors, whose sum is σ = 439171367731200. Its totient is φ = 50009439191040.

The previous prime is 153436668244051. The next prime is 153436668244187. The reversal of 153436668244160 is 61442866634351.

It is a super-2 number, since 2×153436668244160² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153436668244160.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28158681116 + ... + 28158686564.

Almost surely, 2^{153436668244160} is an apocalyptic number.

153436668244160 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 153436668244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219585683865600).

153436668244160 is an abundant number, since it is smaller than the sum of its proper divisors (285734699487040).

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

153436668244160 is a wasteful number, since it uses less digits than its factorization.

153436668244160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 59.

The spelling of 153436668244160 in words is "one hundred fifty-three trillion, four hundred thirty-six billion, six hundred sixty-eight million, two hundred forty-four thousand, one hundred sixty".