31066398730368 has 384 divisors, whose sum is σ = 96295922380800. Its totient is φ = 9857069107200.

The previous prime is 31066398730319. The next prime is 31066398730379. The reversal of 31066398730368 is 86303789366013.

31066398730368 is a `hidden beast` number, since 3 + 106 + 63 + 9 + 87 + 30 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×31066398730368² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202517505 + ... + 202670847.

It is an arithmetic number, because the mean of its divisors is an integer number (250770631200).

Almost surely, 2^{31066398730368} 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 31066398730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48147961190400).

31066398730368 is an abundant number, since it is smaller than the sum of its proper divisors (65229523650432).

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

31066398730368 is a wasteful number, since it uses less digits than its factorization.

31066398730368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153489 (or 153440 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 31066398730368 in words is "thirty-one trillion, sixty-six billion, three hundred ninety-eight million, seven hundred thirty thousand, three hundred sixty-eight".