45098343180900 has 1215 divisors, whose sum is σ = 158355143029083. Its totient is φ = 11101576953600.

The previous prime is 45098343180859. The next prime is 45098343180907. The reversal of 45098343180900 is 908134389054.

The square root of 45098343180900 is 6715530.

It is a perfect power (a square), and thus also a powerful number.

45098343180900 is a `hidden beast` number, since 4 + 50 + 9 + 83 + 431 + 80 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 619901126244 + 44478442054656 = 787338^2 + 6669216^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45098343180907) 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 404 ways as a sum of consecutive naturals, for example, 543353532259 + ... + 543353532341.

Almost surely, 2^{45098343180900} is an apocalyptic number.

45098343180900 is the 6715530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45098343180900

45098343180900 is an abundant number, since it is smaller than the sum of its proper divisors (113256799848183).

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

45098343180900 is a wasteful number, since it uses less digits than its factorization.

45098343180900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 45098343180900 in words is "forty-five trillion, ninety-eight billion, three hundred forty-three million, one hundred eighty thousand, nine hundred".