243213407244000 has 384 divisors, whose sum is σ = 885346954652160. Its totient is φ = 64853234496000.

The previous prime is 243213407243971. The next prime is 243213407244043. The reversal of 243213407244000 is 442704312342.

243213407244000 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 1 + 3 + 407 + 244 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×243213407244000² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2285550795 + ... + 2285657205.

It is an arithmetic number, because the mean of its divisors is an integer number (2305591027740).

Almost surely, 2^{243213407244000} is an apocalyptic number.

243213407244000 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 243213407244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442673477326080).

243213407244000 is an abundant number, since it is smaller than the sum of its proper divisors (642133547408160).

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

243213407244000 is a wasteful number, since it uses less digits than its factorization.

243213407244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127608 (or 127584 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 243213407244000 in words is "two hundred forty-three trillion, two hundred thirteen billion, four hundred seven million, two hundred forty-four thousand".