45118869174720 has 252 divisors, whose sum is σ = 170580866503320. Its totient is φ = 10937907594240.

The previous prime is 45118869174671. The next prime is 45118869174721. The reversal of 45118869174720 is 2747196881154.

45118869174720 is a `hidden beast` number, since 4 + 5 + 11 + 88 + 69 + 17 + 472 + 0 = 666.

It is a super-2 number, since 2×45118869174720² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45118869174721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64388190 + ... + 65085149.

It is an arithmetic number, because the mean of its divisors is an integer number (676908200410).

Almost surely, 2^{45118869174720} is an apocalyptic number.

45118869174720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45118869174720 is an abundant number, since it is smaller than the sum of its proper divisors (125461997328600).

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

45118869174720 is a wasteful number, since it uses less digits than its factorization.

45118869174720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129473384 (or 129473360 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 45118869174720 in words is "forty-five trillion, one hundred eighteen billion, eight hundred sixty-nine million, one hundred seventy-four thousand, seven hundred twenty".