311896465920 has 640 divisors, whose sum is σ = 1231701166080. Its totient is φ = 74291281920.

The previous prime is 311896465901. The next prime is 311896465927. The reversal of 311896465920 is 29564698113.

311896465920 is a `hidden beast` number, since 3 + 1 + 1 + 8 + 9 + 6 + 46 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (311896465927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27849762 + ... + 27860958.

It is an arithmetic number, because the mean of its divisors is an integer number (1924533072).

Almost surely, 2^311896465920 is an apocalyptic number.

311896465920 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 311896465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615850583040).

311896465920 is an abundant number, since it is smaller than the sum of its proper divisors (919804700160).

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

311896465920 is a wasteful number, since it uses less digits than its factorization.

311896465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11273 (or 11251 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 311896465920 in words is "three hundred eleven billion, eight hundred ninety-six million, four hundred sixty-five thousand, nine hundred twenty".