45945835782 has 256 divisors, whose sum is σ = 123641856000. Its totient is φ = 11260529280.

The previous prime is 45945835769. The next prime is 45945835783. The reversal of 45945835782 is 28753854954.

It is a super-3 number, since 3×45945835782³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45945835783) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41132688 + ... + 41133804.

It is an arithmetic number, because the mean of its divisors is an integer number (482976000).

Almost surely, 2^45945835782 is an apocalyptic number.

45945835782 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45945835782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61820928000).

45945835782 is an abundant number, since it is smaller than the sum of its proper divisors (77696020218).

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

45945835782 is a wasteful number, since it uses less digits than its factorization.

45945835782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1242 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 60.

The spelling of 45945835782 in words is "forty-five billion, nine hundred forty-five million, eight hundred thirty-five thousand, seven hundred eighty-two".