311434388352 has 320 divisors, whose sum is σ = 963742348800. Its totient is φ = 99725644800.

The previous prime is 311434388341. The next prime is 311434388357. The reversal of 311434388352 is 253883434113.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 311434388298 and 311434388307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311434388357) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44672227 + ... + 44679197.

It is an arithmetic number, because the mean of its divisors is an integer number (3011694840).

Almost surely, 2^311434388352 is an apocalyptic number.

311434388352 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 311434388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481871174400).

311434388352 is an abundant number, since it is smaller than the sum of its proper divisors (652307960448).

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

311434388352 is a wasteful number, since it uses less digits than its factorization.

311434388352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7167 (or 7146 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 311434388352 in words is "three hundred eleven billion, four hundred thirty-four million, three hundred eighty-eight thousand, three hundred fifty-two".