307825385472 has 672 divisors, whose sum is σ = 1043358563520. Its totient is φ = 86413148160.

The previous prime is 307825385423. The next prime is 307825385477. The reversal of 307825385472 is 274583528703.

307825385472 is a `hidden beast` number, since 3 + 0 + 78 + 25 + 3 + 8 + 547 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (307825385477) 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, 1144332154 + ... + 1144332422.

It is an arithmetic number, because the mean of its divisors is an integer number (1552616910).

Almost surely, 2^307825385472 is an apocalyptic number.

307825385472 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 307825385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521679281760).

307825385472 is an abundant number, since it is smaller than the sum of its proper divisors (735533178048).

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

307825385472 is a wasteful number, since it uses less digits than its factorization.

307825385472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 307825385472 in words is "three hundred seven billion, eight hundred twenty-five million, three hundred eighty-five thousand, four hundred seventy-two".