36246613104 has 640 divisors, whose sum is σ = 126151925760. Its totient is φ = 9853747200.

The previous prime is 36246613103. The next prime is 36246613129. The reversal of 36246613104 is 40131664263.

36246613104 is a `hidden beast` number, since 3 + 6 + 24 + 6 + 613 + 10 + 4 = 666.

It is a super-2 number, since 2×36246613104² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36246613103) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 109506219 + ... + 109506549.

It is an arithmetic number, because the mean of its divisors is an integer number (197112384).

Almost surely, 2^36246613104 is an apocalyptic number.

36246613104 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 36246613104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63075962880).

36246613104 is an abundant number, since it is smaller than the sum of its proper divisors (89905312656).

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

36246613104 is a wasteful number, since it uses less digits than its factorization.

36246613104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 36246613104 in words is "thirty-six billion, two hundred forty-six million, six hundred thirteen thousand, one hundred four".