314539134390 has 432 divisors, whose sum is σ = 950117064624. Its totient is φ = 74833424640.

The previous prime is 314539134373. The next prime is 314539134401. The reversal of 314539134390 is 93431935413.

314539134390 is a `hidden beast` number, since 3 + 14 + 539 + 13 + 4 + 3 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 394653472 + ... + 394654268.

It is an arithmetic number, because the mean of its divisors is an integer number (2199345057).

Almost surely, 2^314539134390 is an apocalyptic number.

314539134390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314539134390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475058532312).

314539134390 is an abundant number, since it is smaller than the sum of its proper divisors (635577930234).

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

314539134390 is a wasteful number, since it uses less digits than its factorization.

314539134390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 314539134390 in words is "three hundred fourteen billion, five hundred thirty-nine million, one hundred thirty-four thousand, three hundred ninety".