45536066784 has 240 divisors, whose sum is σ = 144648437472. Its totient is φ = 13969677312.

The previous prime is 45536066783. The next prime is 45536066791. The reversal of 45536066784 is 48766063554.

45536066784 is a `hidden beast` number, since 4 + 553 + 6 + 0 + 6 + 6 + 7 + 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 45536066784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45536066783) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12566797 + ... + 12570419.

Almost surely, 2^45536066784 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 45536066784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72324218736).

45536066784 is an abundant number, since it is smaller than the sum of its proper divisors (99112370688).

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

45536066784 is a wasteful number, since it uses less digits than its factorization.

45536066784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 45536066784 in words is "forty-five billion, five hundred thirty-six million, sixty-six thousand, seven hundred eighty-four".