45018457509888 has 312 divisors, whose sum is σ = 136478640943008. Its totient is φ = 14825328279552.

The previous prime is 45018457509847. The next prime is 45018457509911. The reversal of 45018457509888 is 88890575481054.

45018457509888 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 8 + 457 + 5 + 0 + 98 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 82339756 + ... + 82884692.

It is an arithmetic number, because the mean of its divisors is an integer number (437431541484).

Almost surely, 2^{45018457509888} is an apocalyptic number.

45018457509888 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 45018457509888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68239320471504).

45018457509888 is an abundant number, since it is smaller than the sum of its proper divisors (91460183433120).

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

45018457509888 is an frugal number, since it uses more digits than its factorization.

45018457509888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545059 (or 545025 counting only the distinct ones).

The product of its (nonzero) digits is 516096000, while the sum is 72.

The spelling of 45018457509888 in words is "forty-five trillion, eighteen billion, four hundred fifty-seven million, five hundred nine thousand, eight hundred eighty-eight".