314100113441200 has 120 divisors (see below), whose sum is σ = 757945901670048. Its totient is φ = 125087340963840.

The previous prime is 314100113441173. The next prime is 314100113441239. The reversal of 314100113441200 is 2144311001413.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888298837 + ... + 888652363.

Almost surely, 2^{314100113441200} 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 314100113441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378972950835024).

314100113441200 is an abundant number, since it is smaller than the sum of its proper divisors (443845788228848).

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

314100113441200 is a wasteful number, since it uses less digits than its factorization.

314100113441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363311 (or 363300 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 314100113441200 its reverse (2144311001413), we get a palindrome (316244424442613).

The spelling of 314100113441200 in words is "three hundred fourteen trillion, one hundred billion, one hundred thirteen million, four hundred forty-one thousand, two hundred".