314103945748320 has 5184 divisors, whose sum is σ = 1463866164633600. Its totient is φ = 62255974809600.

The previous prime is 314103945748259. The next prime is 314103945748337. The reversal of 314103945748320 is 23847549301413.

314103945748320 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 0 + 3 + 94 + 57 + 483 + 20 = 666.

It is a super-2 number, since 2×314103945748320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1578411787581 + ... + 1578411787779.

It is an arithmetic number, because the mean of its divisors is an integer number (282381590400).

Almost surely, 2^{314103945748320} is an apocalyptic number.

314103945748320 is a gapful number since it is divisible by the number (30) 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 314103945748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731933082316800).

314103945748320 is an abundant number, since it is smaller than the sum of its proper divisors (1149762218885280).

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

314103945748320 is a wasteful number, since it uses less digits than its factorization.

314103945748320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 314103945748320 in words is "three hundred fourteen trillion, one hundred three billion, nine hundred forty-five million, seven hundred forty-eight thousand, three hundred twenty".