45065742120 has 256 divisors, whose sum is σ = 173286604800. Its totient is φ = 10204289280.

The previous prime is 45065742107. The next prime is 45065742143. The reversal of 45065742120 is 2124756054.

It is a happy number.

45065742120 is a `hidden beast` number, since 45 + 0 + 6 + 574 + 21 + 20 = 666.

It is a super-2 number, since 2×45065742120² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 781065 + ... + 836775.

It is an arithmetic number, because the mean of its divisors is an integer number (676900800).

Almost surely, 2^45065742120 is an apocalyptic number.

45065742120 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 45065742120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86643302400).

45065742120 is an abundant number, since it is smaller than the sum of its proper divisors (128220862680).

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

45065742120 is a wasteful number, since it uses less digits than its factorization.

45065742120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55845 (or 55835 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 45065742120 in words is "forty-five billion, sixty-five million, seven hundred forty-two thousand, one hundred twenty".