314044749505872 has 2880 divisors, whose sum is σ = 1228772041555968. Its totient is φ = 76663552896000.

The previous prime is 314044749505777. The next prime is 314044749505909. The reversal of 314044749505872 is 278505947440413.

314044749505872 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 4 + 4 + 7 + 49 + 5 + 0 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 497693738997 + ... + 497693739627.

Almost surely, 2^{314044749505872} 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 314044749505872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614386020777984).

314044749505872 is an abundant number, since it is smaller than the sum of its proper divisors (914727292050096).

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

314044749505872 is a wasteful number, since it uses less digits than its factorization.

314044749505872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 314044749505872 in words is "three hundred fourteen trillion, forty-four billion, seven hundred forty-nine million, five hundred five thousand, eight hundred seventy-two".