161337292800 has 432 divisors, whose sum is σ = 551622740760. Its totient is φ = 41597337600.

The previous prime is 161337292799. The next prime is 161337292817. The reversal of 161337292800 is 8292733161.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147609054 + ... + 147610146.

Almost surely, 2^161337292800 is an apocalyptic number.

161337292800 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 161337292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275811370380).

161337292800 is an abundant number, since it is smaller than the sum of its proper divisors (390285447960).

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

161337292800 is a wasteful number, since it uses less digits than its factorization.

161337292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 161337292800 in words is "one hundred sixty-one billion, three hundred thirty-seven million, two hundred ninety-two thousand, eight hundred".