4456692314112 has 104 divisors (see below), whose sum is σ = 11893737094096. Its totient is φ = 1484229574656.

The previous prime is 4456692314023. The next prime is 4456692314131. The reversal of 4456692314112 is 2114132966544.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13563348 + ... + 13888044.

It is an arithmetic number, because the mean of its divisors is an integer number (114362856674).

Almost surely, 2^{4456692314112} 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 4456692314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946868547048).

4456692314112 is an abundant number, since it is smaller than the sum of its proper divisors (7437044779984).

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

4456692314112 is a wasteful number, since it uses less digits than its factorization.

4456692314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325841 (or 325819 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 4456692314112 in words is "four trillion, four hundred fifty-six billion, six hundred ninety-two million, three hundred fourteen thousand, one hundred twelve".