8342336246400 has 1728 divisors, whose sum is σ = 33684649591320. Its totient is φ = 1952780451840.

The previous prime is 8342336246399. The next prime is 8342336246471. The reversal of 8342336246400 is 46426332438.

It is a happy number.

8342336246400 is a `hidden beast` number, since 8 + 3 + 4 + 233 + 6 + 2 + 4 + 6 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2081971953216 + 6260364293184 = 1442904^2 + 2502072^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 48221596714 + ... + 48221596886.

Almost surely, 2^{8342336246400} is an apocalyptic number.

8342336246400 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 8342336246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842324795660).

8342336246400 is an abundant number, since it is smaller than the sum of its proper divisors (25342313344920).

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

8342336246400 is a wasteful number, since it uses less digits than its factorization.

8342336246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 8342336246400 in words is "eight trillion, three hundred forty-two billion, three hundred thirty-six million, two hundred forty-six thousand, four hundred".