45098342784 has 448 divisors, whose sum is σ = 149904075600. Its totient is φ = 13392138240.

The previous prime is 45098342777. The next prime is 45098342833. The reversal of 45098342784 is 48724389054.

45098342784 is a `hidden beast` number, since 4 + 50 + 98 + 3 + 427 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45098342784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 54400482 + ... + 54401310.

Almost surely, 2^45098342784 is an apocalyptic number.

45098342784 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 45098342784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74952037800).

45098342784 is an abundant number, since it is smaller than the sum of its proper divisors (104805732816).

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

45098342784 is an equidigital number, since it uses as much as digits as its factorization.

45098342784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 45098342784 in words is "forty-five billion, ninety-eight million, three hundred forty-two thousand, seven hundred eighty-four".