30961438139268 has 1728 divisors, whose sum is σ = 108046343688192. Its totient is φ = 7573836441600.

The previous prime is 30961438139249. The next prime is 30961438139297. The reversal of 30961438139268 is 86293183416903.

30961438139268 is a `hidden beast` number, since 3 + 0 + 9 + 6 + 1 + 438 + 139 + 2 + 68 = 666.

It is a super-2 number, since 2×30961438139268² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 178967850430 + ... + 178967850602.

It is an arithmetic number, because the mean of its divisors is an integer number (62526819264).

Almost surely, 2^{30961438139268} 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 30961438139268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54023171844096).

30961438139268 is an abundant number, since it is smaller than the sum of its proper divisors (77084905548924).

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

30961438139268 is a wasteful number, since it uses less digits than its factorization.

30961438139268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 30961438139268 in words is "thirty trillion, nine hundred sixty-one billion, four hundred thirty-eight million, one hundred thirty-nine thousand, two hundred sixty-eight".