161414809600 has 576 divisors, whose sum is σ = 483032833920. Its totient is φ = 52769587200.

The previous prime is 161414809547. The next prime is 161414809637. The reversal of 161414809600 is 6908414161.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220210834 + ... + 220211566.

It is an arithmetic number, because the mean of its divisors is an integer number (838598670).

Almost surely, 2^161414809600 is an apocalyptic number.

161414809600 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 161414809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241516416960).

161414809600 is an abundant number, since it is smaller than the sum of its proper divisors (321618024320).

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

161414809600 is a wasteful number, since it uses less digits than its factorization.

161414809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 161414809600 in words is "one hundred sixty-one billion, four hundred fourteen million, eight hundred nine thousand, six hundred".