84486138048 has 224 divisors, whose sum is σ = 269261457920. Its totient is φ = 25822540800.

The previous prime is 84486138047. The next prime is 84486138049. The reversal of 84486138048 is 84083168448.

84486138048 is a `hidden beast` number, since 84 + 486 + 1 + 3 + 80 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (84486138047) and next prime (84486138049).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 84486137985 and 84486138003.

It is not an unprimeable number, because it can be changed into a prime (84486138047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3379611 + ... + 3404517.

It is an arithmetic number, because the mean of its divisors is an integer number (1202060080).

Almost surely, 2^84486138048 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 84486138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134630728960).

84486138048 is an abundant number, since it is smaller than the sum of its proper divisors (184775319872).

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

84486138048 is a wasteful number, since it uses less digits than its factorization.

84486138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25092 (or 25076 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 84486138048 in words is "eighty-four billion, four hundred eighty-six million, one hundred thirty-eight thousand, forty-eight".