45029634048 has 624 divisors, whose sum is σ = 161431635456. Its totient is φ = 12262440960.

The previous prime is 45029634043. The next prime is 45029634073. The reversal of 45029634048 is 84043692054.

45029634048 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 9 + 634 + 0 + 4 + 8 = 666.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 45029633994 and 45029634012.

It is not an unprimeable number, because it can be changed into a prime (45029634043) 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 47 ways as a sum of consecutive naturals, for example, 160247668 + ... + 160247948.

It is an arithmetic number, because the mean of its divisors is an integer number (258704544).

Almost surely, 2^45029634048 is an apocalyptic number.

45029634048 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 45029634048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80715817728).

45029634048 is an abundant number, since it is smaller than the sum of its proper divisors (116402001408).

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

45029634048 is an equidigital number, since it uses as much as digits as its factorization.

45029634048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45029634048 in words is "forty-five billion, twenty-nine million, six hundred thirty-four thousand, forty-eight".