5538291646464 has 480 divisors, whose sum is σ = 17175658500000. Its totient is φ = 1781249605632.

The previous prime is 5538291646463. The next prime is 5538291646523. The reversal of 5538291646464 is 4646461928355.

It is a happy number.

5538291646464 is a `hidden beast` number, since 5 + 5 + 3 + 8 + 2 + 9 + 164 + 6 + 464 = 666.

It is a super-2 number, since 2×5538291646464² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5538291646463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3694656787 + ... + 3694658285.

It is an arithmetic number, because the mean of its divisors is an integer number (35782621875).

Almost surely, 2^{5538291646464} is an apocalyptic number.

5538291646464 is a gapful number since it is divisible by the number (54) 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 5538291646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587829250000).

5538291646464 is an abundant number, since it is smaller than the sum of its proper divisors (11637366853536).

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

5538291646464 is an frugal number, since it uses more digits than its factorization.

5538291646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1533 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 63.

The spelling of 5538291646464 in words is "five trillion, five hundred thirty-eight billion, two hundred ninety-one million, six hundred forty-six thousand, four hundred sixty-four".