243228625920 has 264 divisors, whose sum is σ = 963179397024. Its totient is φ = 55595040768.

The previous prime is 243228625891. The next prime is 243228625943. The reversal of 243228625920 is 29526822342.

243228625920 is a `hidden beast` number, since 2 + 4 + 32 + 28 + 6 + 2 + 592 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

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 23 ways as a sum of consecutive naturals, for example, 54469 + ... + 699588.

Almost surely, 2^243228625920 is an apocalyptic number.

243228625920 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 243228625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481589698512).

243228625920 is an abundant number, since it is smaller than the sum of its proper divisors (719950771104).

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

243228625920 is a wasteful number, since it uses less digits than its factorization.

243228625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754095 (or 754074 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 243228625920 in words is "two hundred forty-three billion, two hundred twenty-eight million, six hundred twenty-five thousand, nine hundred twenty".