6261084933012 has 960 divisors, whose sum is σ = 22294891745280. Its totient is φ = 1485008971776.

The previous prime is 6261084932981. The next prime is 6261084933023. The reversal of 6261084933012 is 2103394801626.

6261084933012 is a `hidden beast` number, since 6 + 26 + 108 + 493 + 30 + 1 + 2 = 666.

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 1765175823 + ... + 1765179369.

It is an arithmetic number, because the mean of its divisors is an integer number (23223845568).

Almost surely, 2^{6261084933012} 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 6261084933012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147445872640).

6261084933012 is an abundant number, since it is smaller than the sum of its proper divisors (16033806812268).

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

6261084933012 is a wasteful number, since it uses less digits than its factorization.

6261084933012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 6261084933012 in words is "six trillion, two hundred sixty-one billion, eighty-four million, nine hundred thirty-three thousand, twelve".