45660181140 has 288 divisors, whose sum is σ = 165034082304. Its totient is φ = 10380493440.

The previous prime is 45660181129. The next prime is 45660181157. The reversal of 45660181140 is 4118106654.

45660181140 is a `hidden beast` number, since 4 + 5 + 6 + 601 + 8 + 1 + 1 + 40 = 666.

It is a super-2 number, since 2×45660181140² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 45660181095 and 45660181104.

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, 6494307 + ... + 6501333.

It is an arithmetic number, because the mean of its divisors is an integer number (573035008).

Almost surely, 2^45660181140 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 45660181140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82517041152).

45660181140 is an abundant number, since it is smaller than the sum of its proper divisors (119373901164).

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

45660181140 is a wasteful number, since it uses less digits than its factorization.

45660181140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249 (or 7235 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 45660181140 its reverse (4118106654), we get a palindrome (49778287794).

The spelling of 45660181140 in words is "forty-five billion, six hundred sixty million, one hundred eighty-one thousand, one hundred forty".