84625365456 has 120 divisors (see below), whose sum is σ = 239876287560. Its totient is φ = 27847507968.

The previous prime is 84625365431. The next prime is 84625365493. The reversal of 84625365456 is 65456352648.

84625365456 is a `hidden beast` number, since 8 + 4 + 6 + 2 + 536 + 54 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19948737600 + 64676627856 = 141240^2 + 254316^2 .

It is a super-2 number, since 2×84625365456² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5705506 + ... + 5720318.

It is an arithmetic number, because the mean of its divisors is an integer number (1998969063).

Almost surely, 2^84625365456 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 84625365456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119938143780).

84625365456 is an abundant number, since it is smaller than the sum of its proper divisors (155250922104).

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

84625365456 is a wasteful number, since it uses less digits than its factorization.

84625365456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15333 (or 15324 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 84625365456 in words is "eighty-four billion, six hundred twenty-five million, three hundred sixty-five thousand, four hundred fifty-six".