30748949400624 has 160 divisors (see below), whose sum is σ = 97867006110720. Its totient is φ = 8101225552896.

The previous prime is 30748949400623. The next prime is 30748949400643. The reversal of 30748949400624 is 42600494984703.

It is not an unprimeable number, because it can be changed into a prime (30748949400623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583942 + ... + 7863770.

It is an arithmetic number, because the mean of its divisors is an integer number (611668788192).

Almost surely, 2^{30748949400624} 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 30748949400624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48933503055360).

30748949400624 is an abundant number, since it is smaller than the sum of its proper divisors (67118056710096).

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

30748949400624 is a wasteful number, since it uses less digits than its factorization.

30748949400624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280827 (or 7280821 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 30748949400624 in words is "thirty trillion, seven hundred forty-eight billion, nine hundred forty-nine million, four hundred thousand, six hundred twenty-four".