311996385792 has 960 divisors, whose sum is σ = 1217638566144. Its totient is φ = 77396705280.

The previous prime is 311996385791. The next prime is 311996385793. The reversal of 311996385792 is 297583699113.

It is an interprime number because it is at equal distance from previous prime (311996385791) and next prime (311996385793).

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

It is not an unprimeable number, because it can be changed into a prime (311996385791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192470742 + ... + 192472362.

Almost surely, 2^311996385792 is an apocalyptic number.

311996385792 is a gapful number since it is divisible by the number (32) 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 311996385792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608819283072).

311996385792 is an abundant number, since it is smaller than the sum of its proper divisors (905642180352).

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

311996385792 is a wasteful number, since it uses less digits than its factorization.

311996385792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1663 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The spelling of 311996385792 in words is "three hundred eleven billion, nine hundred ninety-six million, three hundred eighty-five thousand, seven hundred ninety-two".