84770022445056 has 832 divisors, whose sum is σ = 276907436064000. Its totient is φ = 25786862272512.

The previous prime is 84770022445049. The next prime is 84770022445093. The reversal of 84770022445056 is 65054422007748.

84770022445056 is a `hidden beast` number, since 8 + 4 + 7 + 70 + 0 + 22 + 44 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84770022444993 and 84770022445011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10364346375 + ... + 10364354553.

Almost surely, 2^{84770022445056} 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 84770022445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138453718032000).

84770022445056 is an abundant number, since it is smaller than the sum of its proper divisors (192137413618944).

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

84770022445056 is an frugal number, since it uses more digits than its factorization.

84770022445056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8326 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 84770022445056 in words is "eighty-four trillion, seven hundred seventy billion, twenty-two million, four hundred forty-five thousand, fifty-six".