161633554790400 has 6912 divisors, whose sum is σ = 793214431027200. Its totient is φ = 31531991040000.

The previous prime is 161633554790381. The next prime is 161633554790413. The reversal of 161633554790400 is 4097455336161.

161633554790400 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 3 + 3 + 5 + 547 + 90 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×161633554790400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2214158284764 + ... + 2214158284836.

Almost surely, 2^{161633554790400} is an apocalyptic number.

161633554790400 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 161633554790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396607215513600).

161633554790400 is an abundant number, since it is smaller than the sum of its proper divisors (631580876236800).

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

161633554790400 is a wasteful number, since it uses less digits than its factorization.

161633554790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 161633554790400 in words is "one hundred sixty-one trillion, six hundred thirty-three billion, five hundred fifty-four million, seven hundred ninety thousand, four hundred".