315825449700 has 288 divisors, whose sum is σ = 949965198336. Its totient is φ = 80956592640.

The previous prime is 315825449683. The next prime is 315825449707. The reversal of 315825449700 is 7944528513.

It is a self number, because there is not a number n which added to its sum of digits gives 315825449700.

It is not an unprimeable number, because it can be changed into a prime (315825449707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425067529 + ... + 425068271.

It is an arithmetic number, because the mean of its divisors is an integer number (3298490272).

Almost surely, 2^315825449700 is an apocalyptic number.

315825449700 is a gapful number since it is divisible by the number (30) 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 315825449700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474982599168).

315825449700 is an abundant number, since it is smaller than the sum of its proper divisors (634139748636).

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

315825449700 is a wasteful number, since it uses less digits than its factorization.

315825449700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 315825449700 in words is "three hundred fifteen billion, eight hundred twenty-five million, four hundred forty-nine thousand, seven hundred".