45086959984 has 240 divisors, whose sum is σ = 104873287680. Its totient is φ = 18706406400.

The previous prime is 45086959969. The next prime is 45086959993. The reversal of 45086959984 is 48995968054.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 122852569 + ... + 122852935.

It is an arithmetic number, because the mean of its divisors is an integer number (436972032).

Almost surely, 2^45086959984 is an apocalyptic number.

45086959984 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 45086959984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52436643840).

45086959984 is an abundant number, since it is smaller than the sum of its proper divisors (59786327696).

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

45086959984 is a wasteful number, since it uses less digits than its factorization.

45086959984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 67.

The spelling of 45086959984 in words is "forty-five billion, eighty-six million, nine hundred fifty-nine thousand, nine hundred eighty-four".