86430690648 has 96 divisors (see below), whose sum is σ = 240145410960. Its totient is φ = 28072938240.

The previous prime is 86430690629. The next prime is 86430690653. The reversal of 86430690648 is 84609603468.

86430690648 is a `hidden beast` number, since 86 + 430 + 6 + 90 + 6 + 48 = 666.

It is a super-3 number, since 3×86430690648³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86430690594 and 86430690603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377986 + ... + 561902.

Almost surely, 2^86430690648 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 86430690648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120072705480).

86430690648 is an abundant number, since it is smaller than the sum of its proper divisors (153714720312).

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

86430690648 is a wasteful number, since it uses less digits than its factorization.

86430690648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184097 (or 184090 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 86430690648 in words is "eighty-six billion, four hundred thirty million, six hundred ninety thousand, six hundred forty-eight".