391248474624 has 480 divisors, whose sum is σ = 1316562698880. Its totient is φ = 109544472576.

The previous prime is 391248474599. The next prime is 391248474629. The reversal of 391248474624 is 426474842193.

391248474624 is a `hidden beast` number, since 3 + 9 + 1 + 2 + 4 + 8 + 4 + 7 + 4 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (391248474629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581349552 + ... + 581350224.

It is an arithmetic number, because the mean of its divisors is an integer number (2742838956).

Almost surely, 2^391248474624 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 391248474624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658281349440).

391248474624 is an abundant number, since it is smaller than the sum of its proper divisors (925314224256).

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

391248474624 is a wasteful number, since it uses less digits than its factorization.

391248474624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1021 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 391248474624 in words is "three hundred ninety-one billion, two hundred forty-eight million, four hundred seventy-four thousand, six hundred twenty-four".