4519825344768 has 72 divisors (see below), whose sum is σ = 12736934326368. Its totient is φ = 1417984417792.

The previous prime is 4519825344767. The next prime is 4519825344779. The reversal of 4519825344768 is 8674435289154.

It is a super-2 number, since 2×4519825344768² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4519825344699 and 4519825344708.

It is not an unprimeable number, because it can be changed into a prime (4519825344767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173080746 + ... + 173106857.

It is an arithmetic number, because the mean of its divisors is an integer number (176901865644).

Almost surely, 2^{4519825344768} is an apocalyptic number.

4519825344768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4519825344768 is an abundant number, since it is smaller than the sum of its proper divisors (8217108981600).

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

4519825344768 is a wasteful number, since it uses less digits than its factorization.

4519825344768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346187639 (or 346187625 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 66.

The spelling of 4519825344768 in words is "four trillion, five hundred nineteen billion, eight hundred twenty-five million, three hundred forty-four thousand, seven hundred sixty-eight".