45605411280 has 480 divisors, whose sum is σ = 184136464512. Its totient is φ = 9967104000.

The previous prime is 45605411227. The next prime is 45605411353. The reversal of 45605411280 is 8211450654.

It is a happy number.

45605411280 is a `hidden beast` number, since 4 + 5 + 605 + 41 + 1 + 2 + 8 + 0 = 666.

45605411280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4422130 + ... + 4432430.

Almost surely, 2^45605411280 is an apocalyptic number.

45605411280 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 45605411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92068232256).

45605411280 is an abundant number, since it is smaller than the sum of its proper divisors (138531053232).

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

45605411280 is a wasteful number, since it uses less digits than its factorization.

45605411280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10387 (or 10378 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 45605411280 in words is "forty-five billion, six hundred five million, four hundred eleven thousand, two hundred eighty".