161610914400 has 864 divisors, whose sum is σ = 610494675840. Its totient is φ = 37006295040.

The previous prime is 161610914389. The next prime is 161610914401. The reversal of 161610914400 is 4419016161.

It is a super-2 number, since 2×161610914400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161610914401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 516328644 + ... + 516328956.

It is an arithmetic number, because the mean of its divisors is an integer number (706591060).

Almost surely, 2^161610914400 is an apocalyptic number.

161610914400 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 161610914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305247337920).

161610914400 is an abundant number, since it is smaller than the sum of its proper divisors (448883761440).

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

161610914400 is a wasteful number, since it uses less digits than its factorization.

161610914400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 161610914400 in words is "one hundred sixty-one billion, six hundred ten million, nine hundred fourteen thousand, four hundred".