45984963024 has 960 divisors, whose sum is σ = 183444258816. Its totient is φ = 10368000000.

The previous prime is 45984963023. The next prime is 45984963041. The reversal of 45984963024 is 42036948954.

45984963024 is a `hidden beast` number, since 4 + 598 + 49 + 6 + 3 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×45984963024² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45984963023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 183206899 + ... + 183207149.

Almost surely, 2^45984963024 is an apocalyptic number.

45984963024 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 45984963024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91722129408).

45984963024 is an abundant number, since it is smaller than the sum of its proper divisors (137459295792).

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

45984963024 is a wasteful number, since it uses less digits than its factorization.

45984963024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 45984963024 in words is "forty-five billion, nine hundred eighty-four million, nine hundred sixty-three thousand, twenty-four".