311401230450552 has 320 divisors, whose sum is σ = 957017625696000. Its totient is φ = 94206159440640.

The previous prime is 311401230450547. The next prime is 311401230450599. The reversal of 311401230450552 is 255054032104113.

311401230450552 is a `hidden beast` number, since 3 + 1 + 1 + 40 + 1 + 23 + 0 + 45 + 0 + 552 = 666.

It is a super-2 number, since 2×311401230450552² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1037380228 + ... + 1037680364.

It is an arithmetic number, because the mean of its divisors is an integer number (2990680080300).

Almost surely, 2^{311401230450552} 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 311401230450552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478508812848000).

311401230450552 is an abundant number, since it is smaller than the sum of its proper divisors (645616395245448).

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

311401230450552 is an equidigital number, since it uses as much as digits as its factorization.

311401230450552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300780 (or 300752 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 311401230450552 its reverse (255054032104113), we get a palindrome (566455262554665).

The spelling of 311401230450552 in words is "three hundred eleven trillion, four hundred one billion, two hundred thirty million, four hundred fifty thousand, five hundred fifty-two".