86345246198400 has 1152 divisors, whose sum is σ = 336628520913600. Its totient is φ = 19393050378240.

The previous prime is 86345246198359. The next prime is 86345246198507. The reversal of 86345246198400 is 489164254368.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6824086474 + ... + 6824099126.

Almost surely, 2^{86345246198400} is an apocalyptic number.

86345246198400 is a gapful number since it is divisible by the number (80) 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 86345246198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168314260456800).

86345246198400 is an abundant number, since it is smaller than the sum of its proper divisors (250283274715200).

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

86345246198400 is a wasteful number, since it uses less digits than its factorization.

86345246198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12946 (or 12922 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 86345246198400 in words is "eighty-six trillion, three hundred forty-five billion, two hundred forty-six million, one hundred ninety-eight thousand, four hundred".