45235710606240 has 1152 divisors, whose sum is σ = 200330957998080. Its totient is φ = 9364518604800.

The previous prime is 45235710606227. The next prime is 45235710606263. The reversal of 45235710606240 is 4260601753254.

45235710606240 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 5 + 7 + 10 + 6 + 0 + 624 + 0 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 805293355 + ... + 805349525.

It is an arithmetic number, because the mean of its divisors is an integer number (173898401040).

Almost surely, 2^{45235710606240} is an apocalyptic number.

45235710606240 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 45235710606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100165478999040).

45235710606240 is an abundant number, since it is smaller than the sum of its proper divisors (155095247391840).

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

45235710606240 is a wasteful number, since it uses less digits than its factorization.

45235710606240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56488 (or 56468 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 45235710606240 in words is "forty-five trillion, two hundred thirty-five billion, seven hundred ten million, six hundred six thousand, two hundred forty".