45524142120 has 256 divisors, whose sum is σ = 146893824000. Its totient is φ = 11252929536.

The previous prime is 45524142109. The next prime is 45524142133. The reversal of 45524142120 is 2124142554.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20626057 + ... + 20628263.

It is an arithmetic number, because the mean of its divisors is an integer number (573804000).

Almost surely, 2^45524142120 is an apocalyptic number.

45524142120 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 45524142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73446912000).

45524142120 is an abundant number, since it is smaller than the sum of its proper divisors (101369681880).

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

45524142120 is a wasteful number, since it uses less digits than its factorization.

45524142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 45524142120 its reverse (2124142554), we get a palindrome (47648284674).

The spelling of 45524142120 in words is "forty-five billion, five hundred twenty-four million, one hundred forty-two thousand, one hundred twenty".