45287466000 has 480 divisors, whose sum is σ = 175358776320. Its totient is φ = 10015488000.

The previous prime is 45287465987. The next prime is 45287466079. The reversal of 45287466000 is 66478254.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9111516 + ... + 9116484.

It is an arithmetic number, because the mean of its divisors is an integer number (365330784).

Almost surely, 2^45287466000 is an apocalyptic number.

45287466000 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 45287466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87679388160).

45287466000 is an abundant number, since it is smaller than the sum of its proper divisors (130071310320).

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

45287466000 is a wasteful number, since it uses less digits than its factorization.

45287466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 45287466000 in words is "forty-five billion, two hundred eighty-seven million, four hundred sixty-six thousand".