311338761948 has 18 divisors (see below), whose sum is σ = 786995203904. Its totient is φ = 103779587304.

The previous prime is 311338761947. The next prime is 311338761949. The reversal of 311338761948 is 849167833113.

311338761948 is a `hidden beast` number, since 3 + 1 + 13 + 3 + 8 + 7 + 619 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (311338761947) and next prime (311338761949).

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 311338761894 and 311338761903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311338761947) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4324149436 + ... + 4324149507.

Almost surely, 2^311338761948 is an apocalyptic number.

It is an amenable number.

311338761948 is an abundant number, since it is smaller than the sum of its proper divisors (475656441956).

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

311338761948 is a wasteful number, since it uses less digits than its factorization.

311338761948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8648298953 (or 8648298948 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 311338761948 in words is "three hundred eleven billion, three hundred thirty-eight million, seven hundred sixty-one thousand, nine hundred forty-eight".