45747218880 has 672 divisors, whose sum is σ = 180533283840. Its totient is φ = 10933678080.

The previous prime is 45747218879. The next prime is 45747218899. The reversal of 45747218880 is 8881274754.

45747218880 is a `hidden beast` number, since 457 + 4 + 7 + 2 + 188 + 8 + 0 = 666.

45747218880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×45747218880³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67573102 + ... + 67573778.

It is an arithmetic number, because the mean of its divisors is an integer number (268650720).

Almost surely, 2^45747218880 is an apocalyptic number.

45747218880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45747218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90266641920).

45747218880 is an abundant number, since it is smaller than the sum of its proper divisors (134786064960).

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

45747218880 is a wasteful number, since it uses less digits than its factorization.

45747218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 45747218880 in words is "forty-five billion, seven hundred forty-seven million, two hundred eighteen thousand, eight hundred eighty".