161382481920 has 1080 divisors, whose sum is σ = 647216929632. Its totient is φ = 38539100160.

The previous prime is 161382481867. The next prime is 161382481943. The reversal of 161382481920 is 29184283161.

161382481920 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 82 + 481 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2408693727 + ... + 2408693793.

Almost surely, 2^161382481920 is an apocalyptic number.

161382481920 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 161382481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323608464816).

161382481920 is an abundant number, since it is smaller than the sum of its proper divisors (485834447712).

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

161382481920 is an frugal number, since it uses more digits than its factorization.

161382481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 161382481920 in words is "one hundred sixty-one billion, three hundred eighty-two million, four hundred eighty-one thousand, nine hundred twenty".