4233745152 has 576 divisors, whose sum is σ = 15823503360. Its totient is φ = 1086898176.

The previous prime is 4233745151. The next prime is 4233745163. The reversal of 4233745152 is 2515473324.

4233745152 is a `hidden beast` number, since 42 + 33 + 74 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

Its product of digits (100800) is a multiple of the sum of its prime factors (225).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233745151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33336513 + ... + 33336639.

It is an arithmetic number, because the mean of its divisors is an integer number (27471360).

Almost surely, 2^4233745152 is an apocalyptic number.

4233745152 is a gapful number since it is divisible by the number (42) 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 4233745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911751680).

4233745152 is an abundant number, since it is smaller than the sum of its proper divisors (11589758208).

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

4233745152 is a wasteful number, since it uses less digits than its factorization.

4233745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 4233745152 is about 65067.2356259277. The cubic root of 4233745152 is about 1617.7381878794.

The spelling of 4233745152 in words is "four billion, two hundred thirty-three million, seven hundred forty-five thousand, one hundred fifty-two".