314616305952 has 384 divisors, whose sum is σ = 1040737420800. Its totient is φ = 91738386432.

The previous prime is 314616305951. The next prime is 314616305953. The reversal of 314616305952 is 259503616413.

314616305952 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 1 + 630 + 5 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (314616305951) and next prime (314616305953).

It is a junction number, because it is equal to n+sod(n) for n = 314616305898 and 314616305907.

It is not an unprimeable number, because it can be changed into a prime (314616305951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28153038 + ... + 28164210.

It is an arithmetic number, because the mean of its divisors is an integer number (2710253700).

Almost surely, 2^314616305952 is an apocalyptic number.

314616305952 is a gapful number since it is divisible by the number (32) 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 314616305952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520368710400).

314616305952 is an abundant number, since it is smaller than the sum of its proper divisors (726121114848).

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

314616305952 is a wasteful number, since it uses less digits than its factorization.

314616305952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11337 (or 11323 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 314616305952 in words is "three hundred fourteen billion, six hundred sixteen million, three hundred five thousand, nine hundred fifty-two".