86622498144 has 384 divisors, whose sum is σ = 314471808000. Its totient is φ = 22586978304.

The previous prime is 86622498119. The next prime is 86622498161. The reversal of 86622498144 is 44189422668.

It is a happy number.

86622498144 is a `hidden beast` number, since 8 + 6 + 6 + 2 + 2 + 498 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6991347 + ... + 7003725.

It is an arithmetic number, because the mean of its divisors is an integer number (818937000).

Almost surely, 2^86622498144 is an apocalyptic number.

86622498144 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 86622498144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157235904000).

86622498144 is an abundant number, since it is smaller than the sum of its proper divisors (227849309856).

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

86622498144 is a wasteful number, since it uses less digits than its factorization.

86622498144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12507 (or 12493 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 86622498144 in words is "eighty-six billion, six hundred twenty-two million, four hundred ninety-eight thousand, one hundred forty-four".