84651001344 has 480 divisors, whose sum is σ = 313937094240. Its totient is φ = 22323216384.

The previous prime is 84651001289. The next prime is 84651001349. The reversal of 84651001344 is 44310015648.

84651001344 is a `hidden beast` number, since 8 + 4 + 6 + 510 + 0 + 134 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84651001299 and 84651001308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84651001349) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8801082 + ... + 8810694.

It is an arithmetic number, because the mean of its divisors is an integer number (654035613).

Almost surely, 2^84651001344 is an apocalyptic number.

84651001344 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 84651001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156968547120).

84651001344 is an abundant number, since it is smaller than the sum of its proper divisors (229286092896).

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

84651001344 is a wasteful number, since it uses less digits than its factorization.

84651001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9667 (or 9638 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 84651001344 in words is "eighty-four billion, six hundred fifty-one million, one thousand, three hundred forty-four".