45435124412000 has 192 divisors, whose sum is σ = 115877780928000. Its totient is φ = 17487456716800.

The previous prime is 45435124411993. The next prime is 45435124412053. The reversal of 45435124412000 is 21442153454.

It is a happy number.

It is a congruent number.

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, 33319601 + ... + 34656399.

It is an arithmetic number, because the mean of its divisors is an integer number (603530109000).

Almost surely, 2^{45435124412000} is an apocalyptic number.

45435124412000 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 45435124412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57938890464000).

45435124412000 is an abundant number, since it is smaller than the sum of its proper divisors (70442656516000).

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

45435124412000 is a wasteful number, since it uses less digits than its factorization.

45435124412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337146 (or 1337128 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 45435124412000 its reverse (21442153454), we get a palindrome (45456566565454).

The spelling of 45435124412000 in words is "forty-five trillion, four hundred thirty-five billion, one hundred twenty-four million, four hundred twelve thousand".