36331814144460 has 192 divisors, whose sum is σ = 105623375155200. Its totient is φ = 9321271603200.

The previous prime is 36331814144459. The next prime is 36331814144477. The reversal of 36331814144460 is 6444141813363.

It is a happy number.

It is an unprimeable number.

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, 1654367880 + ... + 1654389840.

It is an arithmetic number, because the mean of its divisors is an integer number (550121745600).

Almost surely, 2^{36331814144460} is an apocalyptic number.

36331814144460 is a gapful number since it is divisible by the number (30) 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 36331814144460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52811687577600).

36331814144460 is an abundant number, since it is smaller than the sum of its proper divisors (69291561010740).

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

36331814144460 is a wasteful number, since it uses less digits than its factorization.

36331814144460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27152 (or 27150 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 36331814144460 in words is "thirty-six trillion, three hundred thirty-one billion, eight hundred fourteen million, one hundred forty-four thousand, four hundred sixty".