45714331200000 has 240 divisors, whose sum is σ = 152222567444640. Its totient is φ = 12190487040000.

The previous prime is 45714331199981. The next prime is 45714331200029. The reversal of 45714331200000 is 213341754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38091 + ... + 9561909.

It is an arithmetic number, because the mean of its divisors is an integer number (634260697686).

Almost surely, 2^{45714331200000} is an apocalyptic number.

45714331200000 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 45714331200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76111283722320).

45714331200000 is an abundant number, since it is smaller than the sum of its proper divisors (106508236244640).

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

45714331200000 is an frugal number, since it uses more digits than its factorization.

45714331200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9523865 (or 9523829 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 45714331200000 its reverse (213341754), we get a palindrome (45714544541754).

The spelling of 45714331200000 in words is "forty-five trillion, seven hundred fourteen billion, three hundred thirty-one million, two hundred thousand".