314263501240416 has 384 divisors, whose sum is σ = 1040403609907200. Its totient is φ = 80855904430080.

The previous prime is 314263501240373. The next prime is 314263501240433. The reversal of 314263501240416 is 614042105362413.

It is a super-3 number, since 3×314263501240416³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65193375 + ... + 69847713.

It is an arithmetic number, because the mean of its divisors is an integer number (2709384400800).

Almost surely, 2^{314263501240416} 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 314263501240416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520201804953600).

314263501240416 is an abundant number, since it is smaller than the sum of its proper divisors (726140108666784).

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

314263501240416 is a wasteful number, since it uses less digits than its factorization.

314263501240416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654562 (or 4654554 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 314263501240416 in words is "three hundred fourteen trillion, two hundred sixty-three billion, five hundred one million, two hundred forty thousand, four hundred sixteen".