45134102323200 has 672 divisors, whose sum is σ = 163006268002560. Its totient is φ = 10927813427200.

The previous prime is 45134102323187. The next prime is 45134102323253. The reversal of 45134102323200 is 232320143154.

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

It is a congruent number.

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, 5994697036 + ... + 5994704564.

Almost surely, 2^{45134102323200} is an apocalyptic number.

45134102323200 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 45134102323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81503134001280).

45134102323200 is an abundant number, since it is smaller than the sum of its proper divisors (117872165679360).

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

45134102323200 is a wasteful number, since it uses less digits than its factorization.

45134102323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8466 (or 8437 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 45134102323200 its reverse (232320143154), we get a palindrome (45366422466354).

The spelling of 45134102323200 in words is "forty-five trillion, one hundred thirty-four billion, one hundred two million, three hundred twenty-three thousand, two hundred".