84652701444864 has 432 divisors, whose sum is σ = 284782540224000. Its totient is φ = 24173958961152.

The previous prime is 84652701444853. The next prime is 84652701444869. The reversal of 84652701444864 is 46844410725648.

84652701444864 is a `hidden beast` number, since 8 + 4 + 6 + 5 + 2 + 7 + 0 + 144 + 486 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (84652701444869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582888077 + ... + 1582941555.

Almost surely, 2^{84652701444864} is an apocalyptic number.

84652701444864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84652701444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142391270112000).

84652701444864 is an abundant number, since it is smaller than the sum of its proper divisors (200129838779136).

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

84652701444864 is a wasteful number, since it uses less digits than its factorization.

84652701444864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55525 (or 55494 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 63.

The spelling of 84652701444864 in words is "eighty-four trillion, six hundred fifty-two billion, seven hundred one million, four hundred forty-four thousand, eight hundred sixty-four".