1036888048729 has 81 divisors (see below), whose sum is σ = 1211708933253. Its totient is φ = 886829658624.

The previous prime is 1036888048723. The next prime is 1036888048733. The reversal of 1036888048729 is 9278408886301.

The square root of 1036888048729 is 1018277.

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

It can be written as a sum of positive squares in 40 ways, for example, as 1011623582025 + 25264466704 = 1005795^2 + 158948^2 .

It is not a de Polignac number, because 1036888048729 - 2⁵ = 1036888048697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1036888048723) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14203945837 + ... + 14203945909.

Almost surely, 2^{1036888048729} is an apocalyptic number.

1036888048729 is the 1018277-th square number.

1036888048729 is the 509139-th centered octagonal number.

It is an amenable number.

1036888048729 is a deficient number, since it is larger than the sum of its proper divisors (174820884524).

1036888048729 is an frugal number, since it uses more digits than its factorization.

1036888048729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 64.

Multiplying 1036888048729 by its sum of digits (64), we get a square (66360835118656 = 8146216²).

The spelling of 1036888048729 in words is "one trillion, thirty-six billion, eight hundred eighty-eight million, forty-eight thousand, seven hundred twenty-nine".