6844100532048 has 480 divisors, whose sum is σ = 21986922746880. Its totient is φ = 1968778690560.

The previous prime is 6844100532041. The next prime is 6844100532091. The reversal of 6844100532048 is 8402350014486.

6844100532048 is a `hidden beast` number, since 6 + 8 + 4 + 4 + 100 + 532 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6844100531994 and 6844100532012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6844100532041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4690952343 + ... + 4690953801.

It is an arithmetic number, because the mean of its divisors is an integer number (45806089056).

Almost surely, 2^{6844100532048} is an apocalyptic number.

6844100532048 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 6844100532048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10993461373440).

6844100532048 is an abundant number, since it is smaller than the sum of its proper divisors (15142822214832).

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

6844100532048 is a wasteful number, since it uses less digits than its factorization.

6844100532048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 6844100532048 in words is "six trillion, eight hundred forty-four billion, one hundred million, five hundred thirty-two thousand, forty-eight".