45115059180240 has 480 divisors, whose sum is σ = 182546202009600. Its totient is φ = 9754437934080.

The previous prime is 45115059180223. The next prime is 45115059180277. The reversal of 45115059180240 is 4208195051154.

45115059180240 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 50 + 591 + 8 + 0 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62748385 + ... + 63463295.

It is an arithmetic number, because the mean of its divisors is an integer number (380304587520).

Almost surely, 2^{45115059180240} is an apocalyptic number.

45115059180240 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 45115059180240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91273101004800).

45115059180240 is an abundant number, since it is smaller than the sum of its proper divisors (137431142829360).

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

45115059180240 is a wasteful number, since it uses less digits than its factorization.

45115059180240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715615 (or 715606 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 45115059180240 in words is "forty-five trillion, one hundred fifteen billion, fifty-nine million, one hundred eighty thousand, two hundred forty".