314542114000 has 80 divisors (see below), whose sum is σ = 763719864336. Its totient is φ = 125294592000.

The previous prime is 314542113973. The next prime is 314542114009. The reversal of 314542114000 is 411245413.

It can be written as a sum of positive squares in 8 ways, for example, as 24895790656 + 289646323344 = 157784^2 + 538188^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314542114009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 155712 + ... + 808288.

Almost surely, 2^314542114000 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 314542114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381859932168).

314542114000 is an abundant number, since it is smaller than the sum of its proper divisors (449177750336).

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

314542114000 is a wasteful number, since it uses less digits than its factorization.

314542114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652841 (or 652825 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 314542114000 its reverse (411245413), we get a palindrome (314953359413).

The spelling of 314542114000 in words is "three hundred fourteen billion, five hundred forty-two million, one hundred fourteen thousand".