45022052000 has 192 divisors, whose sum is σ = 119626730496. Its totient is φ = 16587673600.

The previous prime is 45022051981. The next prime is 45022052083. The reversal of 45022052000 is 25022054.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3188957 + ... + 3203043.

It is an arithmetic number, because the mean of its divisors is an integer number (623055888).

Almost surely, 2^45022052000 is an apocalyptic number.

45022052000 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 45022052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59813365248).

45022052000 is an abundant number, since it is smaller than the sum of its proper divisors (74604678496).

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

45022052000 is a wasteful number, since it uses less digits than its factorization.

45022052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14176 (or 14158 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 45022052000 its reverse (25022054), we get a palindrome (45047074054).

It can be divided in two parts, 4502 and 2052000, that added together give a palindrome (2056502).

The spelling of 45022052000 in words is "forty-five billion, twenty-two million, fifty-two thousand".