45411334560 has 672 divisors, whose sum is σ = 175045086720. Its totient is φ = 11085465600.

The previous prime is 45411334511. The next prime is 45411334561. The reversal of 45411334560 is 6543311454.

45411334560 is a `hidden beast` number, since 4 + 54 + 1 + 13 + 34 + 560 = 666.

45411334560 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 3×45411334560³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45411334561) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 68700630 + ... + 68701290.

It is an arithmetic number, because the mean of its divisors is an integer number (260483760).

Almost surely, 2^45411334560 is an apocalyptic number.

45411334560 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 45411334560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87522543360).

45411334560 is an abundant number, since it is smaller than the sum of its proper divisors (129633752160).

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

45411334560 is a wasteful number, since it uses less digits than its factorization.

45411334560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45411334560 in words is "forty-five billion, four hundred eleven million, three hundred thirty-four thousand, five hundred sixty".