314674145280 has 1728 divisors, whose sum is σ = 1370192241600. Its totient is φ = 65824358400.

The previous prime is 314674145243. The next prime is 314674145309. The reversal of 314674145280 is 82541476413.

314674145280 is a `hidden beast` number, since 3 + 1 + 46 + 74 + 14 + 528 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10150778865 + ... + 10150778895.

It is an arithmetic number, because the mean of its divisors is an integer number (792935325).

Almost surely, 2^314674145280 is an apocalyptic number.

314674145280 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 314674145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685096120800).

314674145280 is an abundant number, since it is smaller than the sum of its proper divisors (1055518096320).

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

314674145280 is a wasteful number, since it uses less digits than its factorization.

314674145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

It can be divided in two parts, 314674 and 145280, that added together give a palindrome (459954).

The spelling of 314674145280 in words is "three hundred fourteen billion, six hundred seventy-four million, one hundred forty-five thousand, two hundred eighty".