161611556166000 has 240 divisors, whose sum is σ = 566270283578688. Its totient is φ = 42957839808000.

The previous prime is 161611556165957. The next prime is 161611556166001. The reversal of 161611556166000 is 661655116161.

161611556166000 is a `hidden beast` number, since 1 + 6 + 16 + 1 + 15 + 5 + 6 + 16 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×161611556166000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161611556166001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8836759 + ... + 20032758.

Almost surely, 2^{161611556166000} is an apocalyptic number.

161611556166000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161611556166000 is an abundant number, since it is smaller than the sum of its proper divisors (404658727412688).

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

161611556166000 is a wasteful number, since it uses less digits than its factorization.

161611556166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28869857 (or 28869838 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 161611556166000 in words is "one hundred sixty-one trillion, six hundred eleven billion, five hundred fifty-six million, one hundred sixty-six thousand".