45122451000 has 256 divisors, whose sum is σ = 156484224000. Its totient is φ = 10731968000.

The previous prime is 45122450999. The next prime is 45122451007. The reversal of 45122451000 is 15422154.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45122451007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1736101 + ... + 1761899.

It is an arithmetic number, because the mean of its divisors is an integer number (611266500).

Almost surely, 2^45122451000 is an apocalyptic number.

45122451000 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 45122451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78242112000).

45122451000 is an abundant number, since it is smaller than the sum of its proper divisors (111361773000).

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

45122451000 is a wasteful number, since it uses less digits than its factorization.

45122451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25887 (or 25873 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 45122451000 its reverse (15422154), we get a palindrome (45137873154).

The spelling of 45122451000 in words is "forty-five billion, one hundred twenty-two million, four hundred fifty-one thousand".