84137618094336 has 567 divisors, whose sum is σ = 267702339827811. Its totient is φ = 26374981681152.

The previous prime is 84137618094329. The next prime is 84137618094349. The reversal of 84137618094336 is 63349081673148.

It is a happy number.

The square root of 84137618094336 is 9172656.

It is a perfect power (a square), and thus also a powerful number.

84137618094336 is a `hidden beast` number, since 8 + 4 + 1 + 3 + 7 + 618 + 0 + 9 + 4 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3458707257600 + 80678910836736 = 1859760^2 + 8982144^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 67363985040 + ... + 67363986288.

Almost surely, 2^{84137618094336} is an apocalyptic number.

84137618094336 is the 9172656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84137618094336

84137618094336 is an abundant number, since it is smaller than the sum of its proper divisors (183564721733475).

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

84137618094336 is an frugal number, since it uses more digits than its factorization.

84137618094336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 84137618094336 in words is "eighty-four trillion, one hundred thirty-seven billion, six hundred eighteen million, ninety-four thousand, three hundred thirty-six".