161493033600 has 288 divisors, whose sum is σ = 583195485600. Its totient is φ = 42545326080.

The previous prime is 161493033523. The next prime is 161493033617. The reversal of 161493033600 is 6330394161.

161493033600 is a `hidden beast` number, since 1 + 6 + 1 + 49 + 3 + 0 + 3 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2356621 + ... + 2424179.

It is an arithmetic number, because the mean of its divisors is an integer number (2024984325).

Almost surely, 2^161493033600 is an apocalyptic number.

161493033600 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 161493033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291597742800).

161493033600 is an abundant number, since it is smaller than the sum of its proper divisors (421702452000).

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

161493033600 is a wasteful number, since it uses less digits than its factorization.

161493033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67672 (or 67652 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 161493033600 in words is "one hundred sixty-one billion, four hundred ninety-three million, thirty-three thousand, six hundred".