314945729280 has 1008 divisors, whose sum is σ = 1392464861760. Its totient is φ = 66432172032.

The previous prime is 314945729249. The next prime is 314945729311. The reversal of 314945729280 is 82927549413.

314945729280 is a `hidden beast` number, since 3 + 1 + 49 + 4 + 572 + 9 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (314945729249) and next prime (314945729311).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×314945729280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 84912066 + ... + 84915774.

Almost surely, 2^314945729280 is an apocalyptic number.

314945729280 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 314945729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696232430880).

314945729280 is an abundant number, since it is smaller than the sum of its proper divisors (1077519132480).

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

314945729280 is an equidigital number, since it uses as much as digits as its factorization.

314945729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 314945729280 in words is "three hundred fourteen billion, nine hundred forty-five million, seven hundred twenty-nine thousand, two hundred eighty".