319092414144 has 112 divisors (see below), whose sum is σ = 968168963328. Its totient is φ = 90857991168.

The previous prime is 319092414103. The next prime is 319092414197. The reversal of 319092414144 is 441414290913.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×319092414144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 319092414096 and 319092414105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11362 + ... + 798945.

It is an arithmetic number, because the mean of its divisors is an integer number (8644365744).

Almost surely, 2^319092414144 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 319092414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484084481664).

319092414144 is an abundant number, since it is smaller than the sum of its proper divisors (649076549184).

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

319092414144 is a wasteful number, since it uses less digits than its factorization.

319092414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810622 (or 810612 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 319092414144 in words is "three hundred nineteen billion, ninety-two million, four hundred fourteen thousand, one hundred forty-four".