161625629797632 has 5184 divisors, whose sum is σ = 706297698183168. Its totient is φ = 35070581145600.

The previous prime is 161625629797589. The next prime is 161625629797679. The reversal of 161625629797632 is 236797926526161.

161625629797632 is a `hidden beast` number, since 1 + 6 + 16 + 256 + 297 + 9 + 76 + 3 + 2 = 666.

It is a super-2 number, since 2×161625629797632² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1029462610098 + ... + 1029462610254.

It is an arithmetic number, because the mean of its divisors is an integer number (136245697952).

Almost surely, 2^{161625629797632} is an apocalyptic number.

161625629797632 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 161625629797632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353148849091584).

161625629797632 is an abundant number, since it is smaller than the sum of its proper divisors (544672068385536).

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

161625629797632 is a wasteful number, since it uses less digits than its factorization.

161625629797632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 241 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 161625629797632 in words is "one hundred sixty-one trillion, six hundred twenty-five billion, six hundred twenty-nine million, seven hundred ninety-seven thousand, six hundred thirty-two".