311696630743680 has 1536 divisors, whose sum is σ = 1342927910338560. Its totient is φ = 64866359181312.

The previous prime is 311696630743679. The next prime is 311696630743753. The reversal of 311696630743680 is 86347036696113.

It is a happy number.

311696630743680 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 96 + 6 + 30 + 7 + 436 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11274143617 + ... + 11274171263.

It is an arithmetic number, because the mean of its divisors is an integer number (874302024960).

Almost surely, 2^{311696630743680} is an apocalyptic number.

311696630743680 is a gapful number since it is divisible by the number (30) 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 311696630743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671463955169280).

311696630743680 is an abundant number, since it is smaller than the sum of its proper divisors (1031231279594880).

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

311696630743680 is a wasteful number, since it uses less digits than its factorization.

311696630743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27986 (or 27971 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 311696630743680 in words is "three hundred eleven trillion, six hundred ninety-six billion, six hundred thirty million, seven hundred forty-three thousand, six hundred eighty".