314519490432 has 640 divisors, whose sum is σ = 1138647248640. Its totient is φ = 84129103872.

The previous prime is 314519490427. The next prime is 314519490503. The reversal of 314519490432 is 234094915413.

314519490432 is a `hidden beast` number, since 3 + 1 + 4 + 519 + 4 + 90 + 43 + 2 = 666.

It is a super-3 number, since 3×314519490432³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 280070223 + ... + 280071345.

It is an arithmetic number, because the mean of its divisors is an integer number (1779136326).

Almost surely, 2^314519490432 is an apocalyptic number.

314519490432 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 314519490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569323624320).

314519490432 is an abundant number, since it is smaller than the sum of its proper divisors (824127758208).

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

314519490432 is a wasteful number, since it uses less digits than its factorization.

314519490432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 314519490432 in words is "three hundred fourteen billion, five hundred nineteen million, four hundred ninety thousand, four hundred thirty-two".