45858258770688 has 1440 divisors, whose sum is σ = 178600376908800. Its totient is φ = 11371924979712.

The previous prime is 45858258770683. The next prime is 45858258770759. The reversal of 45858258770688 is 88607785285854.

45858258770688 is a `hidden beast` number, since 4 + 585 + 8 + 25 + 8 + 7 + 7 + 0 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (45858258770683) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2560617478 + ... + 2560635386.

It is an arithmetic number, because the mean of its divisors is an integer number (124028039520).

Almost surely, 2^{45858258770688} is an apocalyptic number.

45858258770688 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 45858258770688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89300188454400).

45858258770688 is an abundant number, since it is smaller than the sum of its proper divisors (132742118138112).

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

45858258770688 is a wasteful number, since it uses less digits than its factorization.

45858258770688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18039 (or 18016 counting only the distinct ones).

The product of its (nonzero) digits is 9633792000, while the sum is 81.

The spelling of 45858258770688 in words is "forty-five trillion, eight hundred fifty-eight billion, two hundred fifty-eight million, seven hundred seventy thousand, six hundred eighty-eight".