243023920920 has 1536 divisors, whose sum is σ = 1032553267200. Its totient is φ = 50612428800.

The previous prime is 243023920831. The next prime is 243023920933. The reversal of 243023920920 is 29029320342.

243023920920 is a `hidden beast` number, since 243 + 0 + 2 + 392 + 0 + 9 + 20 = 666.

It is a super-2 number, since 2×243023920920² (a number of 24 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 1070589847 + ... + 1070590073.

It is an arithmetic number, because the mean of its divisors is an integer number (672235200).

Almost surely, 2^243023920920 is an apocalyptic number.

243023920920 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 243023920920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516276633600).

243023920920 is an abundant number, since it is smaller than the sum of its proper divisors (789529346280).

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

243023920920 is a wasteful number, since it uses less digits than its factorization.

243023920920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 243023920920 in words is "two hundred forty-three billion, twenty-three million, nine hundred twenty thousand, nine hundred twenty".