45741878784 has 240 divisors, whose sum is σ = 159750141408. Its totient is φ = 12300189696.

The previous prime is 45741878783. The next prime is 45741878827. The reversal of 45741878784 is 48787814754.

45741878784 is a `hidden beast` number, since 457 + 41 + 8 + 78 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45741878783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506644 + ... + 590060.

Almost surely, 2^45741878784 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 45741878784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79875070704).

45741878784 is an abundant number, since it is smaller than the sum of its proper divisors (114008262624).

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

45741878784 is a wasteful number, since it uses less digits than its factorization.

45741878784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83465 (or 83446 counting only the distinct ones).

The product of its digits is 56197120, while the sum is 63.

The spelling of 45741878784 in words is "forty-five billion, seven hundred forty-one million, eight hundred seventy-eight thousand, seven hundred eighty-four".