84649162752 has 864 divisors, whose sum is σ = 322966949760. Its totient is φ = 21518991360.

The previous prime is 84649162751. The next prime is 84649162811. The reversal of 84649162752 is 25726194648.

84649162752 is a `hidden beast` number, since 8 + 4 + 6 + 4 + 9 + 1 + 627 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×84649162752² (a number of 23 digits) contains 22 as substring.

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

Its product of digits (5806080) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84649162751) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1801045993 + ... + 1801046039.

It is an arithmetic number, because the mean of its divisors is an integer number (373804340).

Almost surely, 2^84649162752 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 84649162752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161483474880).

84649162752 is an abundant number, since it is smaller than the sum of its proper divisors (238317787008).

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

84649162752 is an equidigital number, since it uses as much as digits as its factorization.

84649162752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 70 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 84649162752 in words is "eighty-four billion, six hundred forty-nine million, one hundred sixty-two thousand, seven hundred fifty-two".