6311948742 has 96 divisors (see below), whose sum is σ = 15723092736. Its totient is φ = 1811304000.

The previous prime is 6311948711. The next prime is 6311948743. The reversal of 6311948742 is 2478491136.

6311948742 is a `hidden beast` number, since 631 + 1 + 9 + 4 + 8 + 7 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6311948743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453093 + ... + 466815.

It is an arithmetic number, because the mean of its divisors is an integer number (163782216).

Almost surely, 2^6311948742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6311948742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861546368).

6311948742 is an abundant number, since it is smaller than the sum of its proper divisors (9411143994).

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

6311948742 is a wasteful number, since it uses less digits than its factorization.

6311948742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13866 (or 13863 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 6311948742 is about 79447.7736755411. The cubic root of 6311948742 is about 1848.0816483715.

It can be divided in two parts, 631194 and 8742, that added together give a palindrome (639936).

The spelling of 6311948742 in words is "six billion, three hundred eleven million, nine hundred forty-eight thousand, seven hundred forty-two".