31680150033006 has 48 divisors (see below), whose sum is σ = 71694977178240. Its totient is φ = 10091004689040.

The previous prime is 31680150032939. The next prime is 31680150033043. The reversal of 31680150033006 is 60033005108613.

It is a happy number.

31680150033006 is a `hidden beast` number, since 316 + 8 + 0 + 1 + 5 + 0 + 0 + 330 + 0 + 6 = 666.

It is a super-4 number, since 4×31680150033006⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37125780 + ... + 37969511.

It is an arithmetic number, because the mean of its divisors is an integer number (1493645357880).

Almost surely, 2^{31680150033006} is an apocalyptic number.

31680150033006 is an abundant number, since it is smaller than the sum of its proper divisors (40014827145234).

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

31680150033006 is a wasteful number, since it uses less digits than its factorization.

31680150033006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75096341 (or 75096338 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 31680150033006 in words is "thirty-one trillion, six hundred eighty billion, one hundred fifty million, thirty-three thousand, six".