6106210040448 has 256 divisors, whose sum is σ = 21306564576000. Its totient is φ = 1684471541760.

The previous prime is 6106210040389. The next prime is 6106210040467. The reversal of 6106210040448 is 8440400126016.

It is a happy number.

6106210040448 is a `hidden beast` number, since 6 + 10 + 62 + 100 + 40 + 448 = 666.

It is a super-4 number, since 4×6106210040448⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3650263 + ... + 5053398.

It is an arithmetic number, because the mean of its divisors is an integer number (83228767875).

Almost surely, 2^{6106210040448} is an apocalyptic number.

It is an amenable number.

6106210040448 is an abundant number, since it is smaller than the sum of its proper divisors (15200354535552).

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

6106210040448 is a wasteful number, since it uses less digits than its factorization.

6106210040448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8703720 (or 8703702 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 6106210040448 in words is "six trillion, one hundred six billion, two hundred ten million, forty thousand, four hundred forty-eight".