4314311244516 has 192 divisors, whose sum is σ = 12559089553920. Its totient is φ = 1122378854400.

The previous prime is 4314311244499. The next prime is 4314311244547. The reversal of 4314311244516 is 6154421134134.

It is a super-2 number, since 2×4314311244516² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29595840 + ... + 29741256.

It is an arithmetic number, because the mean of its divisors is an integer number (65411924760).

Almost surely, 2^{4314311244516} 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 4314311244516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279544776960).

4314311244516 is an abundant number, since it is smaller than the sum of its proper divisors (8244778309404).

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

4314311244516 is a wasteful number, since it uses less digits than its factorization.

4314311244516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145814 (or 145812 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The spelling of 4314311244516 in words is "four trillion, three hundred fourteen billion, three hundred eleven million, two hundred forty-four thousand, five hundred sixteen".