30945526632 has 256 divisors, whose sum is σ = 96526080000. Its totient is φ = 9128401920.

The previous prime is 30945526631. The next prime is 30945526639. The reversal of 30945526632 is 23662554903.

30945526632 is a `hidden beast` number, since 3 + 0 + 9 + 4 + 5 + 5 + 2 + 6 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (30945526631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9696157 + ... + 9699347.

It is an arithmetic number, because the mean of its divisors is an integer number (377055000).

Almost surely, 2^30945526632 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 30945526632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040000).

30945526632 is an abundant number, since it is smaller than the sum of its proper divisors (65580553368).

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

30945526632 is a wasteful number, since it uses less digits than its factorization.

30945526632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 30945526632 in words is "thirty billion, nine hundred forty-five million, five hundred twenty-six thousand, six hundred thirty-two".