1600116092064 has 144 divisors (see below), whose sum is σ = 5201687574720. Its totient is φ = 457060838400.

The previous prime is 1600116092059. The next prime is 1600116092089. The reversal of 1600116092064 is 4602906110061.

1600116092064 is a `hidden beast` number, since 16 + 0 + 0 + 11 + 609 + 20 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1600116092064³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8068852 + ... + 8264780.

It is an arithmetic number, because the mean of its divisors is an integer number (36122830380).

Almost surely, 2^{1600116092064} is an apocalyptic number.

1600116092064 is a gapful number since it is divisible by the number (14) 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 1600116092064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600843787360).

1600116092064 is an abundant number, since it is smaller than the sum of its proper divisors (3601571482656).

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

1600116092064 is a wasteful number, since it uses less digits than its factorization.

1600116092064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200003 (or 199992 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1600116092064 in words is "one trillion, six hundred billion, one hundred sixteen million, ninety-two thousand, sixty-four".