4567235113728 has 540 divisors, whose sum is σ = 15982722395640. Its totient is φ = 1293343801344.

The previous prime is 4567235113717. The next prime is 4567235113747. The reversal of 4567235113728 is 8273115327654.

4567235113728 is a `hidden beast` number, since 4 + 5 + 6 + 72 + 3 + 511 + 37 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 114795343 + ... + 114835121.

It is an arithmetic number, because the mean of its divisors is an integer number (29597634066).

Almost surely, 2^{4567235113728} is an apocalyptic number.

4567235113728 is a gapful number since it is divisible by the number (48) 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 4567235113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991361197820).

4567235113728 is an abundant number, since it is smaller than the sum of its proper divisors (11415487281912).

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

4567235113728 is a wasteful number, since it uses less digits than its factorization.

4567235113728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39934 (or 39904 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 4567235113728 in words is "four trillion, five hundred sixty-seven billion, two hundred thirty-five million, one hundred thirteen thousand, seven hundred twenty-eight".