45009839424 has 168 divisors, whose sum is σ = 135123675904. Its totient is φ = 13199155200.

The previous prime is 45009839389. The next prime is 45009839431. The reversal of 45009839424 is 42493890054.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 688944 + ... + 751440.

Almost surely, 2^45009839424 is an apocalyptic number.

45009839424 is a gapful number since it is divisible by the number (44) 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 45009839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67561837952).

45009839424 is an abundant number, since it is smaller than the sum of its proper divisors (90113836480).

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

45009839424 is a wasteful number, since it uses less digits than its factorization.

45009839424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62565 (or 62544 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 45009839424 in words is "forty-five billion, nine million, eight hundred thirty-nine thousand, four hundred twenty-four".