30661833648 has 80 divisors (see below), whose sum is σ = 81923899392. Its totient is φ = 9871680000.

The previous prime is 30661833613. The next prime is 30661833673. The reversal of 30661833648 is 84633816603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 30661833597 and 30661833606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755473 + ... + 795023.

Almost surely, 2^30661833648 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 30661833648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40961949696).

30661833648 is an abundant number, since it is smaller than the sum of its proper divisors (51262065744).

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

30661833648 is a wasteful number, since it uses less digits than its factorization.

30661833648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40114 (or 40108 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 30661833648 in words is "thirty billion, six hundred sixty-one million, eight hundred thirty-three thousand, six hundred forty-eight".