314294141952 has 440 divisors, whose sum is σ = 1075714548480. Its totient is φ = 89539706880.

The previous prime is 314294141923. The next prime is 314294141977. The reversal of 314294141952 is 259141492413.

314294141952 is a `hidden beast` number, since 3 + 1 + 42 + 9 + 414 + 195 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 314294141898 and 314294141907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 302496249 + ... + 302497287.

It is an arithmetic number, because the mean of its divisors is an integer number (2444805792).

Almost surely, 2^314294141952 is an apocalyptic number.

314294141952 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 314294141952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537857274240).

314294141952 is an abundant number, since it is smaller than the sum of its proper divisors (761420406528).

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

314294141952 is a wasteful number, since it uses less digits than its factorization.

314294141952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1572 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 314294141952 in words is "three hundred fourteen billion, two hundred ninety-four million, one hundred forty-one thousand, nine hundred fifty-two".