4631158511364 has 576 divisors, whose sum is σ = 14191616065536. Its totient is φ = 1149328224000.

The previous prime is 4631158511359. The next prime is 4631158511381.

4631158511364 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14891184769 + ... + 14891185079.

It is an arithmetic number, because the mean of its divisors is an integer number (24638222336).

Almost surely, 2^{4631158511364} is an apocalyptic number.

4631158511364 is a gapful number since it is divisible by the number (44) 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 4631158511364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095808032768).

4631158511364 is an abundant number, since it is smaller than the sum of its proper divisors (9560457554172).

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

4631158511364 is a wasteful number, since it uses less digits than its factorization.

4631158511364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 815 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 4631158511364 in words is "four trillion, six hundred thirty-one billion, one hundred fifty-eight million, five hundred eleven thousand, three hundred sixty-four".