1600366683136 has 99 divisors (see below), whose sum is σ = 3465330086523. Its totient is φ = 738387886080.

The previous prime is 1600366683119. The next prime is 1600366683173. The reversal of 1600366683136 is 6313866630061.

The square root of 1600366683136 is 1265056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 97643750400 + 1502722932736 = 312480^2 + 1225856^2 .

It is a super-2 number, since 2×1600366683136² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1600366683136.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 526261776 + ... + 526264816.

Almost surely, 2^{1600366683136} is an apocalyptic number.

1600366683136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1600366683136 is the 1265056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600366683136

1600366683136 is an abundant number, since it is smaller than the sum of its proper divisors (1864963403387).

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

1600366683136 is an frugal number, since it uses more digits than its factorization.

1600366683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

Multiplying 1600366683136 by its sum of digits (49), we get a square (78417967473664 = 8855392²).

The spelling of 1600366683136 in words is "one trillion, six hundred billion, three hundred sixty-six million, six hundred eighty-three thousand, one hundred thirty-six".