4529136488448 has 624 divisors, whose sum is σ = 14332389004800. Its totient is φ = 1260955238400.

The previous prime is 4529136488447. The next prime is 4529136488449. The reversal of 4529136488448 is 8448846319254.

It is an interprime number because it is at equal distance from previous prime (4529136488447) and next prime (4529136488449).

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4529136488447) by changing a digit.

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, 7561162453 + ... + 7561163051.

Almost surely, 2^{4529136488448} is an apocalyptic number.

4529136488448 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 4529136488448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166194502400).

4529136488448 is an abundant number, since it is smaller than the sum of its proper divisors (9803252516352).

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

4529136488448 is a wasteful number, since it uses less digits than its factorization.

4529136488448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 959 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 66.

The spelling of 4529136488448 in words is "four trillion, five hundred twenty-nine billion, one hundred thirty-six million, four hundred eighty-eight thousand, four hundred forty-eight".