4512535021344 has 288 divisors, whose sum is σ = 13898282118336. Its totient is φ = 1278187223040.

The previous prime is 4512535021339. The next prime is 4512535021363. The reversal of 4512535021344 is 4431205352154.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747476694 + ... + 747482730.

It is an arithmetic number, because the mean of its divisors is an integer number (48257924022).

Almost surely, 2^{4512535021344} 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 4512535021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949141059168).

4512535021344 is an abundant number, since it is smaller than the sum of its proper divisors (9385747096992).

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

4512535021344 is a wasteful number, since it uses less digits than its factorization.

4512535021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7408 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 4512535021344 in words is "four trillion, five hundred twelve billion, five hundred thirty-five million, twenty-one thousand, three hundred forty-four".