36894442942656 has 896 divisors, whose sum is σ = 129642315264000. Its totient is φ = 10181170298880.

The previous prime is 36894442942627. The next prime is 36894442942657. The reversal of 36894442942656 is 65624924449863.

It is a happy number.

36894442942656 is a `hidden beast` number, since 3 + 6 + 8 + 94 + 44 + 29 + 426 + 56 = 666.

It is a super-2 number, since 2×36894442942656² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36894442942657) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 673241145 + ... + 673295943.

It is an arithmetic number, because the mean of its divisors is an integer number (144690084000).

Almost surely, 2^{36894442942656} is an apocalyptic number.

36894442942656 is a gapful number since it is divisible by the number (36) 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 36894442942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64821157632000).

36894442942656 is an abundant number, since it is smaller than the sum of its proper divisors (92747872321344).

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

36894442942656 is a wasteful number, since it uses less digits than its factorization.

36894442942656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54934 (or 54918 counting only the distinct ones).

The product of its digits is 2149908480, while the sum is 72.

The spelling of 36894442942656 in words is "thirty-six trillion, eight hundred ninety-four billion, four hundred forty-two million, nine hundred forty-two thousand, six hundred fifty-six".