36293339090944 has 416 divisors, whose sum is σ = 82068963588864. Its totient is φ = 15935652495360.

The previous prime is 36293339090881. The next prime is 36293339090947. The reversal of 36293339090944 is 44909093339263.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×36293339090944² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (36293339090947) by changing a digit.

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, 52522921639 + ... + 52522922329.

Almost surely, 2^{36293339090944} 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 36293339090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41034481794432).

36293339090944 is an abundant number, since it is smaller than the sum of its proper divisors (45775624497920).

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

36293339090944 is a wasteful number, since it uses less digits than its factorization.

36293339090944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 102036672, while the sum is 64.

The spelling of 36293339090944 in words is "thirty-six trillion, two hundred ninety-three billion, three hundred thirty-nine million, ninety thousand, nine hundred forty-four".