313750473120 has 432 divisors, whose sum is σ = 1258344746568. Its totient is φ = 70973521920.

The previous prime is 313750473109. The next prime is 313750473121. The reversal of 313750473120 is 21374057313.

313750473120 is a `hidden beast` number, since 3 + 13 + 7 + 50 + 473 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 265056106896 + 48694366224 = 514836^2 + 220668^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (313750473121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6821400 + ... + 6867240.

Almost surely, 2^313750473120 is an apocalyptic number.

313750473120 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 313750473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629172373284).

313750473120 is an abundant number, since it is smaller than the sum of its proper divisors (944594273448).

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

313750473120 is a wasteful number, since it uses less digits than its factorization.

313750473120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45973 (or 45955 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 313750473120 in words is "three hundred thirteen billion, seven hundred fifty million, four hundred seventy-three thousand, one hundred twenty".