161624752128 has 648 divisors, whose sum is σ = 572901992208. Its totient is φ = 42976935936.

The previous prime is 161624752123. The next prime is 161624752141. The reversal of 161624752128 is 821257426161.

161624752128 is a `hidden beast` number, since 1 + 6 + 1 + 62 + 47 + 521 + 28 = 666.

It is a super-2 number, since 2×161624752128² (a number of 23 digits) contains 22 as substring.

Its product of digits (322560) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161624752123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4368236526 + ... + 4368236562.

Almost surely, 2^161624752128 is an apocalyptic number.

161624752128 is a gapful number since it is divisible by the number (18) 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 161624752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286450996104).

161624752128 is an abundant number, since it is smaller than the sum of its proper divisors (411277240080).

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

161624752128 is an frugal number, since it uses more digits than its factorization.

161624752128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 72 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 161624752128 in words is "one hundred sixty-one billion, six hundred twenty-four million, seven hundred fifty-two thousand, one hundred twenty-eight".