45709587194544 has 800 divisors, whose sum is σ = 165076289649600. Its totient is φ = 12037675991040.

The previous prime is 45709587194507. The next prime is 45709587194569. The reversal of 45709587194544 is 44549178590754.

It is a happy number.

45709587194544 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 9 + 5 + 8 + 71 + 9 + 4 + 544 = 666.

It is a super-2 number, since 2×45709587194544² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11070375072 + ... + 11070379200.

It is an arithmetic number, because the mean of its divisors is an integer number (206345362062).

Almost surely, 2^{45709587194544} 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 45709587194544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82538144824800).

45709587194544 is an abundant number, since it is smaller than the sum of its proper divisors (119366702455056).

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

45709587194544 is a wasteful number, since it uses less digits than its factorization.

45709587194544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 45709587194544 in words is "forty-five trillion, seven hundred nine billion, five hundred eighty-seven million, one hundred ninety-four thousand, five hundred forty-four".