86440633604468 has 384 divisors, whose sum is σ = 195580533657600. Its totient is φ = 32807190528000.

The previous prime is 86440633604459. The next prime is 86440633604473.

86440633604468 is nontrivially palindromic in base 10.

86440633604468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 86440633604468.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31536165578 + ... + 31536168318.

It is an arithmetic number, because the mean of its divisors is an integer number (509324306400).

Almost surely, 2^{86440633604468} is an apocalyptic number.

It is an amenable number.

86440633604468 is an abundant number, since it is smaller than the sum of its proper divisors (109139900053132).

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

86440633604468 is a wasteful number, since it uses less digits than its factorization.

86440633604468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 62.

The spelling of 86440633604468 in words is "eighty-six trillion, four hundred forty billion, six hundred thirty-three million, six hundred four thousand, four hundred sixty-eight".