86225416992 has 378 divisors, whose sum is σ = 292067857809. Its totient is φ = 24118997760.

The previous prime is 86225416969. The next prime is 86225416993. The reversal of 86225416992 is 29961452268.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

86225416992 is a `hidden beast` number, since 8 + 6 + 2 + 2 + 541 + 6 + 9 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73725282576 + 12500134416 = 271524^2 + 111804^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=207636.

Its product of digits (3732480) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (86225416993) 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 62 ways as a sum of consecutive naturals, for example, 6632724378 + ... + 6632724390.

Almost surely, 2^86225416992 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 86225416992

86225416992 is an abundant number, since it is smaller than the sum of its proper divisors (205842440817).

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

86225416992 is an frugal number, since it uses more digits than its factorization.

86225416992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 29 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 86225416992 in words is "eighty-six billion, two hundred twenty-five million, four hundred sixteen thousand, nine hundred ninety-two".