311962113747648 has 336 divisors, whose sum is σ = 1148908093908960. Its totient is φ = 82275722016768.

The previous prime is 311962113747563. The next prime is 311962113747733. The reversal of 311962113747648 is 846747311269113.

311962113747648 is a `hidden beast` number, since 3 + 1 + 1 + 9 + 6 + 2 + 113 + 7 + 476 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (311962113747563) and next prime (311962113747733).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140605411 + ... + 142806882.

It is an arithmetic number, because the mean of its divisors is an integer number (3419369327110).

Almost surely, 2^{311962113747648} is an apocalyptic number.

It is an amenable number.

311962113747648 is an abundant number, since it is smaller than the sum of its proper divisors (836945980161312).

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

311962113747648 is a wasteful number, since it uses less digits than its factorization.

311962113747648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283412341 (or 283412318 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 311962113747648 in words is "three hundred eleven trillion, nine hundred sixty-two billion, one hundred thirteen million, seven hundred forty-seven thousand, six hundred forty-eight".