1600031379456 has 78 divisors (see below), whose sum is σ = 4621748733290. Its totient is φ = 533343780864.

The previous prime is 1600031379421. The next prime is 1600031379467. The reversal of 1600031379456 is 6549731300061.

It is a happy number.

1600031379456 is a `hidden beast` number, since 1 + 60 + 0 + 0 + 3 + 137 + 9 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1510893305856 + 89138073600 = 1229184^2 + 298560^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21664951 + ... + 21738678.

Almost surely, 2^{1600031379456} is an apocalyptic number.

1600031379456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1600031379456 is an abundant number, since it is smaller than the sum of its proper divisors (3021717353834).

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

1600031379456 is an equidigital number, since it uses as much as digits as its factorization.

1600031379456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43403659 (or 43403634 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 1600031379456 in words is "one trillion, six hundred billion, thirty-one million, three hundred seventy-nine thousand, four hundred fifty-six".