45398618775000 has 960 divisors, whose sum is σ = 162956037958560. Its totient is φ = 11803968000000.

The previous prime is 45398618774987. The next prime is 45398618775001. The reversal of 45398618775000 is 57781689354.

45398618775000 is a `hidden beast` number, since 4 + 5 + 3 + 9 + 8 + 618 + 7 + 7 + 5 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×45398618775000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45398618775001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13703173344 + ... + 13703176656.

Almost surely, 2^{45398618775000} is an apocalyptic number.

45398618775000 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 45398618775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81478018979280).

45398618775000 is an abundant number, since it is smaller than the sum of its proper divisors (117557419183560).

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

45398618775000 is a wasteful number, since it uses less digits than its factorization.

45398618775000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 45398618775000 in words is "forty-five trillion, three hundred ninety-eight billion, six hundred eighteen million, seven hundred seventy-five thousand".