243722449152 has 1152 divisors, whose sum is σ = 981057208320. Its totient is φ = 57808650240.

The previous prime is 243722449133. The next prime is 243722449153. The reversal of 243722449152 is 251944227342.

243722449152 is a `hidden beast` number, since 2 + 4 + 37 + 22 + 449 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×243722449152³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243722449098 and 243722449107.

It is not an unprimeable number, because it can be changed into a prime (243722449153) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245935377 + ... + 245936367.

It is an arithmetic number, because the mean of its divisors is an integer number (851612160).

Almost surely, 2^243722449152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243722449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490528604160).

243722449152 is an abundant number, since it is smaller than the sum of its proper divisors (737334759168).

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

243722449152 is a wasteful number, since it uses less digits than its factorization.

243722449152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1056 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 243722449152 in words is "two hundred forty-three billion, seven hundred twenty-two million, four hundred forty-nine thousand, one hundred fifty-two".