86035481451648 has 256 divisors, whose sum is σ = 262726635456000. Its totient is φ = 27684682260480.

The previous prime is 86035481451551. The next prime is 86035481451671. The reversal of 86035481451648 is 84615418453068.

86035481451648 is a `hidden beast` number, since 8 + 6 + 0 + 3 + 548 + 1 + 45 + 1 + 6 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589344361 + ... + 589490327.

It is an arithmetic number, because the mean of its divisors is an integer number (1026275919750).

Almost surely, 2^{86035481451648} 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 86035481451648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131363317728000).

86035481451648 is an abundant number, since it is smaller than the sum of its proper divisors (176691154004352).

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

86035481451648 is a wasteful number, since it uses less digits than its factorization.

86035481451648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151900 (or 151882 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 86035481451648 in words is "eighty-six trillion, thirty-five billion, four hundred eighty-one million, four hundred fifty-one thousand, six hundred forty-eight".