36090083745 has 24 divisors (see below), whose sum is σ = 64081908072. Its totient is φ = 18778579200.

The previous prime is 36090083741. The next prime is 36090083749. The reversal of 36090083745 is 54738009063.

36090083745 is a `hidden beast` number, since 3 + 609 + 0 + 0 + 8 + 37 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (36090083741) and next prime (36090083749).

It can be written as a sum of positive squares in 4 ways, for example, as 2192486976 + 33897596769 = 46824^2 + 184113^2 .

It is not a de Polignac number, because 36090083745 - 2² = 36090083741 is a prime.

It is a super-2 number, since 2×36090083745² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 36090083745.

It is not an unprimeable number, because it can be changed into a prime (36090083741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9778666 + ... + 9782355.

It is an arithmetic number, because the mean of its divisors is an integer number (2670079503).

Almost surely, 2^36090083745 is an apocalyptic number.

It is an amenable number.

36090083745 is a deficient number, since it is larger than the sum of its proper divisors (27991824327).

36090083745 is a wasteful number, since it uses less digits than its factorization.

36090083745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19561073 (or 19561070 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 36090083745 in words is "thirty-six billion, ninety million, eighty-three thousand, seven hundred forty-five".