1600391138112 has 336 divisors, whose sum is σ = 5107442160000. Its totient is φ = 491187400704.

The previous prime is 1600391138107. The next prime is 1600391138201. The reversal of 1600391138112 is 2118311930061.

It is a happy number.

1600391138112 is a `hidden beast` number, since 1 + 600 + 3 + 9 + 1 + 1 + 38 + 1 + 12 = 666.

It is a super-2 number, since 2×1600391138112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119434389 + ... + 119447787.

Almost surely, 2^{1600391138112} is an apocalyptic number.

1600391138112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600391138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553721080000).

1600391138112 is an abundant number, since it is smaller than the sum of its proper divisors (3507051021888).

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

1600391138112 is a wasteful number, since it uses less digits than its factorization.

1600391138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13855 (or 13826 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 1600391138112 in words is "one trillion, six hundred billion, three hundred ninety-one million, one hundred thirty-eight thousand, one hundred twelve".