86738448384 has 468 divisors, whose sum is σ = 301048737600. Its totient is φ = 23967498240.

The previous prime is 86738448371. The next prime is 86738448389. The reversal of 86738448384 is 48384483768.

86738448384 is a `hidden beast` number, since 8 + 6 + 73 + 8 + 4 + 483 + 84 = 666.

It is a super-2 number, since 2×86738448384² (a number of 23 digits) contains 22 as substring.

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 (86738448389) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55995642 + ... + 55997190.

Almost surely, 2^86738448384 is an apocalyptic number.

86738448384 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 86738448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150524368800).

86738448384 is an abundant number, since it is smaller than the sum of its proper divisors (214310289216).

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

86738448384 is a wasteful number, since it uses less digits than its factorization.

86738448384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1592 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 63.

The spelling of 86738448384 in words is "eighty-six billion, seven hundred thirty-eight million, four hundred forty-eight thousand, three hundred eighty-four".