45530380191744 has 384 divisors, whose sum is σ = 155553574176000. Its totient is φ = 12889322422272.

The previous prime is 45530380191731. The next prime is 45530380191749. The reversal of 45530380191744 is 44719108303554.

45530380191744 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 0 + 380 + 191 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (45530380191749) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 41651272 + ... + 42730424.

It is an arithmetic number, because the mean of its divisors is an integer number (405087432750).

Almost surely, 2^{45530380191744} 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 45530380191744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77776787088000).

45530380191744 is an abundant number, since it is smaller than the sum of its proper divisors (110023193984256).

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

45530380191744 is a wasteful number, since it uses less digits than its factorization.

45530380191744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079300 (or 1079274 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 45530380191744 in words is "forty-five trillion, five hundred thirty billion, three hundred eighty million, one hundred ninety-one thousand, seven hundred forty-four".