84544866756 has 405 divisors, whose sum is σ = 266827290639. Its totient is φ = 22568093856.

The previous prime is 84544866709. The next prime is 84544866767. The reversal of 84544866756 is 65766844548.

It is a happy number.

The square root of 84544866756 is 290766.

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

84544866756 is a `hidden beast` number, since 8 + 4 + 544 + 86 + 6 + 7 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 84544866693 and 84544866702.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 1966159671 + ... + 1966159713.

Almost surely, 2^84544866756 is an apocalyptic number.

84544866756 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

84544866756 is the 290766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84544866756

84544866756 is an abundant number, since it is smaller than the sum of its proper divisors (182282423883).

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

84544866756 is a wasteful number, since it uses less digits than its factorization.

84544866756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 78 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 84544866756 in words is "eighty-four billion, five hundred forty-four million, eight hundred sixty-six thousand, seven hundred fifty-six".