6461101824128 has 512 divisors, whose sum is σ = 16394120478720. Its totient is φ = 2472925593600.

The previous prime is 6461101824103. The next prime is 6461101824157. The reversal of 6461101824128 is 8214281011646.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10471801676 + ... + 10471802292.

It is an arithmetic number, because the mean of its divisors is an integer number (32019766560).

Almost surely, 2^{6461101824128} is an apocalyptic number.

6461101824128 is a gapful number since it is divisible by the number (68) 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 6461101824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8197060239360).

6461101824128 is an abundant number, since it is smaller than the sum of its proper divisors (9933018654592).

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

6461101824128 is a wasteful number, since it uses less digits than its factorization.

6461101824128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The spelling of 6461101824128 in words is "six trillion, four hundred sixty-one billion, one hundred one million, eight hundred twenty-four thousand, one hundred twenty-eight".