161315930624832 has 1120 divisors, whose sum is σ = 529133115772800. Its totient is φ = 48366634401792.

The previous prime is 161315930624789. The next prime is 161315930624837. The reversal of 161315930624832 is 238426039513161.

161315930624832 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 1 + 5 + 9 + 3 + 0 + 624 + 8 + 3 + 2 = 666.

161315930624832 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161315930624832² (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 not an unprimeable number, because it can be changed into a prime (161315930624837) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 204975769143 + ... + 204975769929.

It is an arithmetic number, because the mean of its divisors is an integer number (472440281940).

Almost surely, 2^{161315930624832} is an apocalyptic number.

161315930624832 is a gapful number since it is divisible by the number (12) 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 161315930624832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264566557886400).

161315930624832 is an abundant number, since it is smaller than the sum of its proper divisors (367817185147968).

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

161315930624832 is a wasteful number, since it uses less digits than its factorization.

161315930624832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1554 counting only the distinct ones).

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

The spelling of 161315930624832 in words is "one hundred sixty-one trillion, three hundred fifteen billion, nine hundred thirty million, six hundred twenty-four thousand, eight hundred thirty-two".