161506415560896 has 448 divisors, whose sum is σ = 552730893276160. Its totient is φ = 45288807505920.

The previous prime is 161506415560883. The next prime is 161506415560933. The reversal of 161506415560896 is 698065514605161.

It is a happy number.

161506415560896 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 0 + 6 + 4 + 15 + 5 + 608 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×161506415560896² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336960711 + ... + 337439673.

Almost surely, 2^{161506415560896} is an apocalyptic number.

161506415560896 is a gapful number since it is divisible by the number (16) 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 161506415560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276365446638080).

161506415560896 is an abundant number, since it is smaller than the sum of its proper divisors (391224477715264).

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

161506415560896 is a wasteful number, since it uses less digits than its factorization.

161506415560896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479509 (or 479493 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 161506415560896 in words is "one hundred sixty-one trillion, five hundred six billion, four hundred fifteen million, five hundred sixty thousand, eight hundred ninety-six".