6261266106144 has 384 divisors, whose sum is σ = 21993179443200. Its totient is φ = 1692940953600.

The previous prime is 6261266106143. The next prime is 6261266106149. The reversal of 6261266106144 is 4416016621626.

6261266106144 is a `hidden beast` number, since 6 + 2 + 6 + 1 + 26 + 6 + 1 + 0 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6261266106144.

It is not an unprimeable number, because it can be changed into a prime (6261266106143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107643469 + ... + 107701619.

It is an arithmetic number, because the mean of its divisors is an integer number (57273904800).

Almost surely, 2^{6261266106144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6261266106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10996589721600).

6261266106144 is an abundant number, since it is smaller than the sum of its proper divisors (15731913337056).

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

6261266106144 is a wasteful number, since it uses less digits than its factorization.

6261266106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59133 (or 59119 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 6261266106144 in words is "six trillion, two hundred sixty-one billion, two hundred sixty-six million, one hundred six thousand, one hundred forty-four".