314315520480 has 288 divisors, whose sum is σ = 1155676485600. Its totient is φ = 77332008960.

The previous prime is 314315520473. The next prime is 314315520517. The reversal of 314315520480 is 84025513413.

314315520480 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 155 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×314315520480² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69093246 + ... + 69097794.

It is an arithmetic number, because the mean of its divisors is an integer number (4012765575).

Almost surely, 2^314315520480 is an apocalyptic number.

314315520480 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 314315520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577838242800).

314315520480 is an abundant number, since it is smaller than the sum of its proper divisors (841360965120).

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

314315520480 is a wasteful number, since it uses less digits than its factorization.

314315520480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274 (or 8263 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 314315520480 in words is "three hundred fourteen billion, three hundred fifteen million, five hundred twenty thousand, four hundred eighty".