36456500537744 has 120 divisors (see below), whose sum is σ = 87005701923768. Its totient is φ = 14704172421120.

The previous prime is 36456500537719. The next prime is 36456500537759. The reversal of 36456500537744 is 44773500565463.

It can be written as a sum of positive squares in 4 ways, for example, as 47344537744 + 36409156000000 = 217588^2 + 6034000^2 .

It is a super-2 number, since 2×36456500537744² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222402374 + ... + 222566234.

Almost surely, 2^{36456500537744} is an apocalyptic number.

36456500537744 is a gapful number since it is divisible by the number (34) 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 36456500537744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43502850961884).

36456500537744 is an abundant number, since it is smaller than the sum of its proper divisors (50549201386024).

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

36456500537744 is a wasteful number, since it uses less digits than its factorization.

36456500537744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180593 (or 180580 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 59.

The spelling of 36456500537744 in words is "thirty-six trillion, four hundred fifty-six billion, five hundred million, five hundred thirty-seven thousand, seven hundred forty-four".