161610416352 has 768 divisors, whose sum is σ = 607199846400. Its totient is φ = 40601088000.

The previous prime is 161610416339. The next prime is 161610416371. The reversal of 161610416352 is 253614016161.

161610416352 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 10 + 4 + 1 + 635 + 2 = 666.

It is a super-2 number, since 2×161610416352² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 488248827 + ... + 488249157.

It is an arithmetic number, because the mean of its divisors is an integer number (790624800).

Almost surely, 2^161610416352 is an apocalyptic number.

161610416352 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 161610416352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303599923200).

161610416352 is an abundant number, since it is smaller than the sum of its proper divisors (445589430048).

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

161610416352 is a wasteful number, since it uses less digits than its factorization.

161610416352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 161610416352 in words is "one hundred sixty-one billion, six hundred ten million, four hundred sixteen thousand, three hundred fifty-two".