161706295296000 has 4320 divisors, whose sum is σ = 753394854820608. Its totient is φ = 33787006156800.

The previous prime is 161706295295981. The next prime is 161706295296043. The reversal of 161706295296000 is 692592607161.

161706295296000 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 0 + 6 + 2 + 9 + 5 + 29 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×161706295296000² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1569964031949 + ... + 1569964032051.

Almost surely, 2^{161706295296000} is an apocalyptic number.

161706295296000 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 161706295296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376697427410304).

161706295296000 is an abundant number, since it is smaller than the sum of its proper divisors (591688559524608).

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

161706295296000 is an frugal number, since it uses more digits than its factorization.

161706295296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 161706295296000 in words is "one hundred sixty-one trillion, seven hundred six billion, two hundred ninety-five million, two hundred ninety-six thousand".