36896480945136 has 120 divisors (see below), whose sum is σ = 112441635306000. Its totient is φ = 11249743712256.

The previous prime is 36896480945131. The next prime is 36896480945179. The reversal of 36896480945136 is 63154908469863.

36896480945136 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 6 + 480 + 9 + 4 + 5 + 136 = 666.

It is a super-3 number, since 3×36896480945136³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36896480945131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232430241 + ... + 232588928.

It is an arithmetic number, because the mean of its divisors is an integer number (937013627550).

Almost surely, 2^{36896480945136} is an apocalyptic number.

36896480945136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36896480945136 is an abundant number, since it is smaller than the sum of its proper divisors (75545154360864).

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

36896480945136 is a wasteful number, since it uses less digits than its factorization.

36896480945136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465019231 (or 465019222 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 36896480945136 in words is "thirty-six trillion, eight hundred ninety-six billion, four hundred eighty million, nine hundred forty-five thousand, one hundred thirty-six".