4825749906432 has 528 divisors, whose sum is σ = 17903748481920. Its totient is φ = 1272720605184.

The previous prime is 4825749906427. The next prime is 4825749906487. The reversal of 4825749906432 is 2346099475284.

4825749906432 is a `hidden beast` number, since 4 + 8 + 2 + 57 + 499 + 0 + 64 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4825749906432.

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 47 ways as a sum of consecutive naturals, for example, 17474773 + ... + 17748779.

Almost surely, 2^{4825749906432} is an apocalyptic number.

4825749906432 is a gapful number since it is divisible by the number (42) 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 4825749906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951874240960).

4825749906432 is an abundant number, since it is smaller than the sum of its proper divisors (13077998575488).

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

4825749906432 is a wasteful number, since it uses less digits than its factorization.

4825749906432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274063 (or 274032 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 4825749906432 in words is "four trillion, eight hundred twenty-five billion, seven hundred forty-nine million, nine hundred six thousand, four hundred thirty-two".