36231516405 has 64 divisors (see below), whose sum is σ = 73803225600. Its totient is φ = 16520232960.

The previous prime is 36231516403. The next prime is 36231516427. The reversal of 36231516405 is 50461513263.

36231516405 is a `hidden beast` number, since 3 + 6 + 2 + 3 + 1 + 5 + 1 + 640 + 5 = 666.

It is not a de Polignac number, because 36231516405 - 2¹ = 36231516403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36231516405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36231516403) 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 63 ways as a sum of consecutive naturals, for example, 318325 + ... + 416885.

It is an arithmetic number, because the mean of its divisors is an integer number (1153175400).

Almost surely, 2^36231516405 is an apocalyptic number.

36231516405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36231516405 is an abundant number, since it is smaller than the sum of its proper divisors (37571709195).

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

36231516405 is a wasteful number, since it uses less digits than its factorization.

36231516405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98971 (or 98965 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 36231516405 in words is "thirty-six billion, two hundred thirty-one million, five hundred sixteen thousand, four hundred five".