45380509234560 has 256 divisors, whose sum is σ = 170176910731200. Its totient is φ = 11389617930240.

The previous prime is 45380509234549. The next prime is 45380509234573. The reversal of 45380509234560 is 6543290508354.

It is a happy number.

45380509234560 is a `hidden beast` number, since 4 + 5 + 3 + 8 + 0 + 50 + 9 + 23 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45380509234497 and 45380509234506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76947031 + ... + 77534550.

Almost surely, 2^{45380509234560} is an apocalyptic number.

45380509234560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45380509234560 is an abundant number, since it is smaller than the sum of its proper divisors (124796401496640).

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

45380509234560 is a wasteful number, since it uses less digits than its factorization.

45380509234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154481626 (or 154481608 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 45380509234560 in words is "forty-five trillion, three hundred eighty billion, five hundred nine million, two hundred thirty-four thousand, five hundred sixty".