312346644480 has 416 divisors, whose sum is σ = 1195875515520. Its totient is φ = 76883558400.

The previous prime is 312346644469. The next prime is 312346644487. The reversal of 312346644480 is 84446643213.

312346644480 is a `hidden beast` number, since 3 + 123 + 4 + 6 + 6 + 44 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (312346644487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7166755 + ... + 7210205.

Almost surely, 2^312346644480 is an apocalyptic number.

312346644480 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 312346644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597937757760).

312346644480 is an abundant number, since it is smaller than the sum of its proper divisors (883528871040).

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

312346644480 is a wasteful number, since it uses less digits than its factorization.

312346644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43502 (or 43474 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 312346644480 in words is "three hundred twelve billion, three hundred forty-six million, six hundred forty-four thousand, four hundred eighty".