84560811456 has 448 divisors, whose sum is σ = 266273280000. Its totient is φ = 23406796800.

The previous prime is 84560811403. The next prime is 84560811493. The reversal of 84560811456 is 65411806548.

It is a super-3 number, since 3×84560811456³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 169460295 + ... + 169460793.

It is an arithmetic number, because the mean of its divisors is an integer number (594360000).

Almost surely, 2^84560811456 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 84560811456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640000).

84560811456 is an abundant number, since it is smaller than the sum of its proper divisors (181712468544).

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

84560811456 is a wasteful number, since it uses less digits than its factorization.

84560811456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 84560811456 in words is "eighty-four billion, five hundred sixty million, eight hundred eleven thousand, four hundred fifty-six".