4816901574432 has 144 divisors (see below), whose sum is σ = 14207433458400. Its totient is φ = 1605403971072.

The previous prime is 4816901574431. The next prime is 4816901574449. The reversal of 4816901574432 is 2344751096184.

4816901574432 is a `hidden beast` number, since 4 + 8 + 1 + 69 + 0 + 1 + 574 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4816901574432² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4816901574431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59391444 + ... + 59472492.

It is an arithmetic number, because the mean of its divisors is an integer number (98662732350).

It is a 1-persistent number, because it is pandigital, but 2⋅4816901574432 = 9633803148864 is not.

Almost surely, 2^{4816901574432} 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 4816901574432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103716729200).

4816901574432 is an abundant number, since it is smaller than the sum of its proper divisors (9390531883968).

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

4816901574432 is an equidigital number, since it uses as much as digits as its factorization.

4816901574432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88717 (or 88697 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4816901574432 in words is "four trillion, eight hundred sixteen billion, nine hundred one million, five hundred seventy-four thousand, four hundred thirty-two".