243376358400 has 1452 divisors, whose sum is σ = 1079150757312. Its totient is φ = 53210234880.

The previous prime is 243376358383. The next prime is 243376358411. The reversal of 243376358400 is 4853673342.

243376358400 is a `hidden beast` number, since 2 + 4 + 3 + 3 + 7 + 63 + 584 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 10581580789 + ... + 10581580811.

Almost surely, 2^243376358400 is an apocalyptic number.

243376358400 is a gapful number since it is divisible by the number (20) 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 243376358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539575378656).

243376358400 is an abundant number, since it is smaller than the sum of its proper divisors (835774398912).

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

243376358400 is an frugal number, since it uses more digits than its factorization.

243376358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 243376358400 in words is "two hundred forty-three billion, three hundred seventy-six million, three hundred fifty-eight thousand, four hundred".