45238217472000 has 4608 divisors, whose sum is σ = 210681200620800. Its totient is φ = 9631589990400.

The previous prime is 45238217471971. The next prime is 45238217472059. The reversal of 45238217472000 is 27471283254.

45238217472000 is a `hidden beast` number, since 4 + 52 + 382 + 17 + 4 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 466373375952 + ... + 466373376048.

Almost surely, 2^{45238217472000} is an apocalyptic number.

45238217472000 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 45238217472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105340600310400).

45238217472000 is an abundant number, since it is smaller than the sum of its proper divisors (165442983148800).

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

45238217472000 is an frugal number, since it uses more digits than its factorization.

45238217472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 45238217472000 in words is "forty-five trillion, two hundred thirty-eight billion, two hundred seventeen million, four hundred seventy-two thousand".