311212877976 has 1728 divisors, whose sum is σ = 1260973808640. Its totient is φ = 71131737600.

The previous prime is 311212877971. The next prime is 311212878161. The reversal of 311212877976 is 679778212113.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (1778112) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311212877971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4644968295 + ... + 4644968361.

Almost surely, 2^311212877976 is an apocalyptic number.

311212877976 is a gapful number since it is divisible by the number (36) 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 311212877976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630486904320).

311212877976 is an abundant number, since it is smaller than the sum of its proper divisors (949760930664).

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

311212877976 is a wasteful number, since it uses less digits than its factorization.

311212877976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 134 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The spelling of 311212877976 in words is "three hundred eleven billion, two hundred twelve million, eight hundred seventy-seven thousand, nine hundred seventy-six".