45142364520 has 192 divisors, whose sum is σ = 161010944640. Its totient is φ = 10877913600.

The previous prime is 45142364473. The next prime is 45142364539. The reversal of 45142364520 is 2546324154.

45142364520 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 2 + 3 + 645 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627190 + ... + 695450.

It is an arithmetic number, because the mean of its divisors is an integer number (838598670).

Almost surely, 2^45142364520 is an apocalyptic number.

45142364520 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 45142364520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80505472320).

45142364520 is an abundant number, since it is smaller than the sum of its proper divisors (115868580120).

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

45142364520 is a wasteful number, since it uses less digits than its factorization.

45142364520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68456 (or 68449 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 45142364520 its reverse (2546324154), we get a palindrome (47688688674).

The spelling of 45142364520 in words is "forty-five billion, one hundred forty-two million, three hundred sixty-four thousand, five hundred twenty".