161496664056000 has 8960 divisors, whose sum is σ = 838984501555200. Its totient is φ = 29668737024000.

The previous prime is 161496664055959. The next prime is 161496664056163. The reversal of 161496664056000 is 650466694161.

It is a happy number.

It is a super-2 number, since 2×161496664056000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 1161846503931 + ... + 1161846504069.

It is an arithmetic number, because the mean of its divisors is an integer number (93636663120).

Almost surely, 2^{161496664056000} is an apocalyptic number.

161496664056000 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 161496664056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419492250777600).

161496664056000 is an abundant number, since it is smaller than the sum of its proper divisors (677487837499200).

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

161496664056000 is a wasteful number, since it uses less digits than its factorization.

161496664056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 161496664056000 in words is "one hundred sixty-one trillion, four hundred ninety-six billion, six hundred sixty-four million, fifty-six thousand".