161500473114624 has 720 divisors, whose sum is σ = 573814670135616. Its totient is φ = 42716469657600.

The previous prime is 161500473114623. The next prime is 161500473114671. The reversal of 161500473114624 is 426411374005161.

161500473114624 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 0 + 0 + 4 + 7 + 3 + 1 + 14 + 624 = 666.

It is a super-2 number, since 2×161500473114624² (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 161500473114624.

It is not an unprimeable number, because it can be changed into a prime (161500473114623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1070307664 + ... + 1070458544.

Almost surely, 2^{161500473114624} is an apocalyptic number.

161500473114624 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 161500473114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286907335067808).

161500473114624 is an abundant number, since it is smaller than the sum of its proper divisors (412314197020992).

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

161500473114624 is a wasteful number, since it uses less digits than its factorization.

161500473114624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151000 (or 150971 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 161500473114624 in words is "one hundred sixty-one trillion, five hundred billion, four hundred seventy-three million, one hundred fourteen thousand, six hundred twenty-four".