45286141824 has 1024 divisors, whose sum is σ = 178606080000. Its totient is φ = 11176704000.

The previous prime is 45286141783. The next prime is 45286141843. The reversal of 45286141824 is 42814168254.

45286141824 is a `hidden beast` number, since 4 + 5 + 2 + 8 + 614 + 1 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45286141824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 299908149 + ... + 299908299.

It is an arithmetic number, because the mean of its divisors is an integer number (174420000).

Almost surely, 2^45286141824 is an apocalyptic number.

45286141824 is a gapful number since it is divisible by the number (44) 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 45286141824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89303040000).

45286141824 is an abundant number, since it is smaller than the sum of its proper divisors (133319938176).

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

45286141824 is a wasteful number, since it uses less digits than its factorization.

45286141824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 197 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The spelling of 45286141824 in words is "forty-five billion, two hundred eighty-six million, one hundred forty-one thousand, eight hundred twenty-four".