161433964800 has 162 divisors, whose sum is σ = 577163064842. Its totient is φ = 43049041920.

The previous prime is 161433964771. The next prime is 161433964831. The reversal of 161433964800 is 8469334161.

161433964800 is a `hidden beast` number, since 161 + 4 + 3 + 3 + 9 + 6 + 480 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 45256605696 + 116177359104 = 212736^2 + 340848^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1343737 + ... + 1458936.

Almost surely, 2^161433964800 is an apocalyptic number.

161433964800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161433964800 is an abundant number, since it is smaller than the sum of its proper divisors (415729100042).

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

161433964800 is a wasteful number, since it uses less digits than its factorization.

161433964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802705 (or 2802683 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 161433964800 in words is "one hundred sixty-one billion, four hundred thirty-three million, nine hundred sixty-four thousand, eight hundred".