45098700444 has 288 divisors, whose sum is σ = 142044005376. Its totient is φ = 11772794880.

The previous prime is 45098700421. The next prime is 45098700457. The reversal of 45098700444 is 44400789054.

45098700444 is a `hidden beast` number, since 4 + 50 + 98 + 70 + 0 + 444 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45098700444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20377882 + ... + 20380094.

It is an arithmetic number, because the mean of its divisors is an integer number (493208352).

Almost surely, 2^45098700444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45098700444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71022002688).

45098700444 is an abundant number, since it is smaller than the sum of its proper divisors (96945304932).

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

45098700444 is a wasteful number, since it uses less digits than its factorization.

45098700444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 45098700444 in words is "forty-five billion, ninety-eight million, seven hundred thousand, four hundred forty-four".