36112400464 has 160 divisors (see below), whose sum is σ = 90668482560. Its totient is φ = 13571712000.

The previous prime is 36112400459. The next prime is 36112400477. The reversal of 36112400464 is 46400421163.

It is a super-3 number, since 3×36112400464³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1505364 + ... + 1529164.

It is an arithmetic number, because the mean of its divisors is an integer number (566678016).

Almost surely, 2^36112400464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36112400464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45334241280).

36112400464 is an abundant number, since it is smaller than the sum of its proper divisors (54556082096).

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

36112400464 is a wasteful number, since it uses less digits than its factorization.

36112400464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23889 (or 23883 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 36112400464 in words is "thirty-six billion, one hundred twelve million, four hundred thousand, four hundred sixty-four".