86618431900 has 648 divisors, whose sum is σ = 266299424496. Its totient is φ = 24153292800.

The previous prime is 86618431883. The next prime is 86618431901. The reversal of 86618431900 is 913481668.

It is a super-2 number, since 2×86618431900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86618431901) 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 215 ways as a sum of consecutive naturals, for example, 337036572 + ... + 337036828.

It is an arithmetic number, because the mean of its divisors is an integer number (410955902).

Almost surely, 2^86618431900 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 86618431900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133149712248).

86618431900 is an abundant number, since it is smaller than the sum of its proper divisors (179680992596).

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

86618431900 is a wasteful number, since it uses less digits than its factorization.

86618431900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 86618431900 in words is "eighty-six billion, six hundred eighteen million, four hundred thirty-one thousand, nine hundred".