36896921435136 has 352 divisors, whose sum is σ = 115056062415360. Its totient is φ = 10292391051264.

The previous prime is 36896921435107. The next prime is 36896921435159. The reversal of 36896921435136 is 63153412969863.

It is a super-2 number, since 2×36896921435136² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2567806960 + ... + 2567821328.

It is an arithmetic number, because the mean of its divisors is an integer number (326863813680).

Almost surely, 2^{36896921435136} 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 36896921435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57528031207680).

36896921435136 is an abundant number, since it is smaller than the sum of its proper divisors (78159140980224).

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

36896921435136 is a wasteful number, since it uses less digits than its factorization.

36896921435136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17219 (or 17201 counting only the distinct ones).

The product of its digits is 151165440, while the sum is 66.

The spelling of 36896921435136 in words is "thirty-six trillion, eight hundred ninety-six billion, nine hundred twenty-one million, four hundred thirty-five thousand, one hundred thirty-six".