45897588350208 has 432 divisors, whose sum is σ = 156495428369280. Its totient is φ = 12658056413184.

The previous prime is 45897588350183. The next prime is 45897588350213. The reversal of 45897588350208 is 80205388579854.

It is a happy number.

45897588350208 is a `hidden beast` number, since 4 + 5 + 8 + 9 + 7 + 588 + 35 + 0 + 2 + 0 + 8 = 666.

45897588350208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2150061391 + ... + 2150082737.

It is an arithmetic number, because the mean of its divisors is an integer number (362257936040).

Almost surely, 2^{45897588350208} is an apocalyptic number.

45897588350208 is a gapful number since it is divisible by the number (48) 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 45897588350208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78247714184640).

45897588350208 is an abundant number, since it is smaller than the sum of its proper divisors (110597840019072).

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

45897588350208 is a wasteful number, since it uses less digits than its factorization.

45897588350208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26002 (or 25985 counting only the distinct ones).

The product of its (nonzero) digits is 774144000, while the sum is 72.

The spelling of 45897588350208 in words is "forty-five trillion, eight hundred ninety-seven billion, five hundred eighty-eight million, three hundred fifty thousand, two hundred eight".