45351412000000 has 1008 divisors, whose sum is σ = 121728223108800. Its totient is φ = 16837632000000.

The previous prime is 45351411999977. The next prime is 45351412000021. The reversal of 45351412000000 is 21415354.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 416067999946 + ... + 416068000054.

It is an arithmetic number, because the mean of its divisors is an integer number (120762126100).

Almost surely, 2^{45351412000000} is an apocalyptic number.

45351412000000 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 45351412000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60864111554400).

45351412000000 is an abundant number, since it is smaller than the sum of its proper divisors (76376811108800).

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

45351412000000 is an frugal number, since it uses more digits than its factorization.

45351412000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 259 counting only the distinct ones).

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

Adding to 45351412000000 its reverse (21415354), we get a palindrome (45351433415354).

The spelling of 45351412000000 in words is "forty-five trillion, three hundred fifty-one billion, four hundred twelve million", and thus it is an aban number.