314753388948 has 144 divisors (see below), whose sum is σ = 839999160000. Its totient is φ = 103038490368.

The previous prime is 314753388947. The next prime is 314753388967. The reversal of 314753388948 is 849883357413.

314753388948 is a `hidden beast` number, since 3 + 1 + 4 + 7 + 533 + 8 + 8 + 94 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314753388947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12877483 + ... + 12901901.

It is an arithmetic number, because the mean of its divisors is an integer number (5833327500).

Almost surely, 2^314753388948 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 314753388948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419999580000).

314753388948 is an abundant number, since it is smaller than the sum of its proper divisors (525245771052).

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

314753388948 is a wasteful number, since it uses less digits than its factorization.

314753388948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24676 (or 24662 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 314753388948 in words is "three hundred fourteen billion, seven hundred fifty-three million, three hundred eighty-eight thousand, nine hundred forty-eight".