45665784858240 has 2048 divisors, whose sum is σ = 189645815808000. Its totient is φ = 10300450406400.

The previous prime is 45665784858209. The next prime is 45665784858241. The reversal of 45665784858240 is 4285848756654.

It is a happy number.

45665784858240 is a `hidden beast` number, since 4 + 5 + 6 + 6 + 578 + 4 + 8 + 5 + 8 + 2 + 40 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (45665784858241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16303384840 + ... + 16303387640.

It is an arithmetic number, because the mean of its divisors is an integer number (92600496000).

Almost surely, 2^{45665784858240} is an apocalyptic number.

45665784858240 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 45665784858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94822907904000).

45665784858240 is an abundant number, since it is smaller than the sum of its proper divisors (143980030949760).

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

45665784858240 is a wasteful number, since it uses less digits than its factorization.

45665784858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 2064384000, while the sum is 72.

The spelling of 45665784858240 in words is "forty-five trillion, six hundred sixty-five billion, seven hundred eighty-four million, eight hundred fifty-eight thousand, two hundred forty".