32161283062272 has 2240 divisors, whose sum is σ = 124249752506880. Its totient is φ = 8084515848192.

The previous prime is 32161283062229. The next prime is 32161283062283. The reversal of 32161283062272 is 27226038216123.

32161283062272 is a `hidden beast` number, since 3 + 2 + 1 + 6 + 12 + 8 + 3 + 0 + 622 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 101455151458 + ... + 101455151774.

It is an arithmetic number, because the mean of its divisors is an integer number (55468639512).

Almost surely, 2^{32161283062272} is an apocalyptic number.

32161283062272 is a gapful number since it is divisible by the number (32) 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 32161283062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62124876253440).

32161283062272 is an abundant number, since it is smaller than the sum of its proper divisors (92088469444608).

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

32161283062272 is a wasteful number, since it uses less digits than its factorization.

32161283062272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 32161283062272 in words is "thirty-two trillion, one hundred sixty-one billion, two hundred eighty-three million, sixty-two thousand, two hundred seventy-two".