45112350400000 has 240 divisors, whose sum is σ = 121330008632448. Its totient is φ = 16656860160000.

The previous prime is 45112350399929. The next prime is 45112350400003. The reversal of 45112350400000 is 405321154.

It is a happy number.

It is a super-2 number, since 2×45112350400000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45112350400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19715569 + ... + 21884431.

Almost surely, 2^{45112350400000} is an apocalyptic number.

45112350400000 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 45112350400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60665004316224).

45112350400000 is an abundant number, since it is smaller than the sum of its proper divisors (76217658232448).

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

45112350400000 is an frugal number, since it uses more digits than its factorization.

45112350400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168919 (or 2168883 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 45112350400000 its reverse (405321154), we get a palindrome (45112755721154).

The spelling of 45112350400000 in words is "forty-five trillion, one hundred twelve billion, three hundred fifty million, four hundred thousand".