311343150400000 has 720 divisors, whose sum is σ = 829234698598152. Its totient is φ = 116745338880000.

The previous prime is 311343150399971. The next prime is 311343150400099. The reversal of 311343150400000 is 4051343113.

It can be written as a sum of positive squares in 12 ways, for example, as 71901445398784 + 239441705001216 = 8479472^2 + 15473904^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56027197222 + ... + 56027202778.

Almost surely, 2^{311343150400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311343150400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414617349299076).

311343150400000 is an abundant number, since it is smaller than the sum of its proper divisors (517891548198152).

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

311343150400000 is an frugal number, since it uses more digits than its factorization.

311343150400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The spelling of 311343150400000 in words is "three hundred eleven trillion, three hundred forty-three billion, one hundred fifty million, four hundred thousand".