314740091952 has 1440 divisors, whose sum is σ = 1198939262976. Its totient is φ = 75910348800.

The previous prime is 314740091933. The next prime is 314740091993. The reversal of 314740091952 is 259190047413.

314740091952 is a `hidden beast` number, since 3 + 1 + 474 + 0 + 0 + 91 + 95 + 2 = 666.

It is a super-2 number, since 2×314740091952² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314740091898 and 314740091907.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3244743168 + ... + 3244743264.

Almost surely, 2^314740091952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314740091952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599469631488).

314740091952 is an abundant number, since it is smaller than the sum of its proper divisors (884199171024).

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

314740091952 is a wasteful number, since it uses less digits than its factorization.

314740091952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 314740091952 in words is "three hundred fourteen billion, seven hundred forty million, ninety-one thousand, nine hundred fifty-two".