311997093408 has 1344 divisors, whose sum is σ = 1279362760704. Its totient is φ = 72223488000.

The previous prime is 311997093379. The next prime is 311997093409. The reversal of 311997093408 is 804390799113.

It is a happy number.

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 (311997093409) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 723890953 + ... + 723891383.

It is an arithmetic number, because the mean of its divisors is an integer number (951906816).

Almost surely, 2^311997093408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311997093408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639681380352).

311997093408 is an abundant number, since it is smaller than the sum of its proper divisors (967365667296).

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

311997093408 is a wasteful number, since it uses less digits than its factorization.

311997093408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 311997093408 in words is "three hundred eleven billion, nine hundred ninety-seven million, ninety-three thousand, four hundred eight".