161629117246296 has 384 divisors, whose sum is σ = 539213980631040. Its totient is φ = 42719877446400.

The previous prime is 161629117246283. The next prime is 161629117246297. The reversal of 161629117246296 is 692642711926161.

161629117246296 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 2 + 9 + 11 + 72 + 462 + 96 = 666.

It is a super-2 number, since 2×161629117246296² (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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161629117246297) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 568712151 + ... + 568996281.

It is an arithmetic number, because the mean of its divisors is an integer number (1404203074560).

Almost surely, 2^{161629117246296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161629117246296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269606990315520).

161629117246296 is an abundant number, since it is smaller than the sum of its proper divisors (377584863384744).

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

161629117246296 is a wasteful number, since it uses less digits than its factorization.

161629117246296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285787 (or 285780 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 161629117246296 in words is "one hundred sixty-one trillion, six hundred twenty-nine billion, one hundred seventeen million, two hundred forty-six thousand, two hundred ninety-six".