36481759517952 has 1296 divisors, whose sum is σ = 133944307660800. Its totient is φ = 9485067755520.

The previous prime is 36481759517909. The next prime is 36481759518013. The reversal of 36481759517952 is 25971595718463.

36481759517952 is a `hidden beast` number, since 3 + 6 + 4 + 8 + 1 + 7 + 59 + 517 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9242906443 + ... + 9242910389.

Almost surely, 2^{36481759517952} is an apocalyptic number.

36481759517952 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 36481759517952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66972153830400).

36481759517952 is an abundant number, since it is smaller than the sum of its proper divisors (97462548142848).

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

36481759517952 is a wasteful number, since it uses less digits than its factorization.

36481759517952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4148 counting only the distinct ones).

The product of its digits is 571536000, while the sum is 72.

The spelling of 36481759517952 in words is "thirty-six trillion, four hundred eighty-one billion, seven hundred fifty-nine million, five hundred seventeen thousand, nine hundred fifty-two".