314123009772 has 576 divisors, whose sum is σ = 964274088960. Its totient is φ = 78683996160.

The previous prime is 314123009737. The next prime is 314123009789. The reversal of 314123009772 is 277900321413.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 314123009772.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 932115588 + ... + 932115924.

It is an arithmetic number, because the mean of its divisors is an integer number (1674086960).

Almost surely, 2^314123009772 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 314123009772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482137044480).

314123009772 is an abundant number, since it is smaller than the sum of its proper divisors (650151079188).

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

314123009772 is a wasteful number, since it uses less digits than its factorization.

314123009772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 314123009772 in words is "three hundred fourteen billion, one hundred twenty-three million, nine thousand, seven hundred seventy-two".