36136461312 has 440 divisors, whose sum is σ = 124675728320. Its totient is φ = 10212065280.

The previous prime is 36136461307. The next prime is 36136461353. The reversal of 36136461312 is 21316463163.

36136461312 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 646 + 1 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×36136461312² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63285987 + ... + 63286557.

It is an arithmetic number, because the mean of its divisors is an integer number (283353928).

Almost surely, 2^36136461312 is an apocalyptic number.

36136461312 is a gapful number since it is divisible by the number (32) 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 36136461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62337864160).

36136461312 is an abundant number, since it is smaller than the sum of its proper divisors (88539267008).

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

36136461312 is a wasteful number, since it uses less digits than its factorization.

36136461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 692 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 36136461312 in words is "thirty-six billion, one hundred thirty-six million, four hundred sixty-one thousand, three hundred twelve".