162235187112960 has 2112 divisors, whose sum is σ = 647204623752960. Its totient is φ = 37271591976960.

The previous prime is 162235187112959. The next prime is 162235187113003. The reversal of 162235187112960 is 69211781532261.

162235187112960 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 3 + 518 + 7 + 112 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 162235187112897 and 162235187112906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115142076736 + ... + 115142078144.

Almost surely, 2^{162235187112960} is an apocalyptic number.

162235187112960 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 162235187112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323602311876480).

162235187112960 is an abundant number, since it is smaller than the sum of its proper divisors (484969436640000).

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

162235187112960 is a wasteful number, since it uses less digits than its factorization.

162235187112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 162235187112960 in words is "one hundred sixty-two trillion, two hundred thirty-five billion, one hundred eighty-seven million, one hundred twelve thousand, nine hundred sixty".