86487842448 has 640 divisors, whose sum is σ = 315922636800. Its totient is φ = 22072393728.

The previous prime is 86487842437. The next prime is 86487842449. The reversal of 86487842448 is 84424878468.

It is a happy number.

86487842448 is a `hidden beast` number, since 86 + 4 + 8 + 78 + 42 + 448 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86487842449) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 228199923 + ... + 228200301.

It is an arithmetic number, because the mean of its divisors is an integer number (493629120).

Almost surely, 2^86487842448 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 86487842448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157961318400).

86487842448 is an abundant number, since it is smaller than the sum of its proper divisors (229434794352).

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

86487842448 is a wasteful number, since it uses less digits than its factorization.

86487842448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its digits is 88080384, while the sum is 63.

The spelling of 86487842448 in words is "eighty-six billion, four hundred eighty-seven million, eight hundred forty-two thousand, four hundred forty-eight".