314444000001132 has 60 divisors (see below), whose sum is σ = 822111629862600. Its totient is φ = 104802820907904.

The previous prime is 314444000001107. The next prime is 314444000001133. The reversal of 314444000001132 is 231100000444413.

314444000001132 is a `hidden beast` number, since 3 + 144 + 4 + 400 + 0 + 0 + 0 + 113 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 314444000001096 and 314444000001105.

It is not an unprimeable number, because it can be changed into a prime (314444000001133) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51969978 + ... + 57704129.

It is an arithmetic number, because the mean of its divisors is an integer number (13701860497710).

Almost surely, 2^{314444000001132} is an apocalyptic number.

It is an amenable number.

314444000001132 is an abundant number, since it is smaller than the sum of its proper divisors (507667629861468).

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

314444000001132 is a wasteful number, since it uses less digits than its factorization.

314444000001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109682972 (or 109682961 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 314444000001132 its reverse (231100000444413), we get a palindrome (545544000445545).

The spelling of 314444000001132 in words is "three hundred fourteen trillion, four hundred forty-four billion, one thousand, one hundred thirty-two".