161477971200 has 1944 divisors, whose sum is σ = 754624180128. Its totient is φ = 33861058560.

The previous prime is 161477971183. The next prime is 161477971231. The reversal of 161477971200 is 2179774161.

161477971200 is a `hidden beast` number, since 1 + 614 + 7 + 7 + 9 + 7 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 990662319 + ... + 990662481.

Almost surely, 2^161477971200 is an apocalyptic number.

161477971200 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 161477971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377312090064).

161477971200 is an abundant number, since it is smaller than the sum of its proper divisors (593146208928).

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

161477971200 is a wasteful number, since it uses less digits than its factorization.

161477971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 161477971200 in words is "one hundred sixty-one billion, four hundred seventy-seven million, nine hundred seventy-one thousand, two hundred".