30967140445632 has 140 divisors (see below), whose sum is σ = 91802808490536. Its totient is φ = 10321648888320.

The previous prime is 30967140445609. The next prime is 30967140445691. The reversal of 30967140445632 is 23654404176903.

30967140445632 is a `hidden beast` number, since 3 + 0 + 9 + 6 + 71 + 4 + 0 + 4 + 4 + 563 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75590983 + ... + 75999545.

Almost surely, 2^{30967140445632} is an apocalyptic number.

30967140445632 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 30967140445632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45901404245268).

30967140445632 is an abundant number, since it is smaller than the sum of its proper divisors (60835668044904).

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

30967140445632 is a wasteful number, since it uses less digits than its factorization.

30967140445632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423208 (or 423189 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 30967140445632 in words is "thirty trillion, nine hundred sixty-seven billion, one hundred forty million, four hundred forty-five thousand, six hundred thirty-two".