1249616766006 has 96 divisors (see below), whose sum is σ = 3258984368640. Its totient is φ = 338051273472.

The previous prime is 1249616765953. The next prime is 1249616766037. The reversal of 1249616766006 is 6006676169421.

1249616766006 is a `hidden beast` number, since 1 + 24 + 9 + 6 + 1 + 6 + 7 + 6 + 600 + 6 = 666.

It is a super-4 number, since 4×1249616766006⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4122126 + ... + 4414878.

It is an arithmetic number, because the mean of its divisors is an integer number (33947753840).

Almost surely, 2^{1249616766006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249616766006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629492184320).

1249616766006 is an abundant number, since it is smaller than the sum of its proper divisors (2009367602634).

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

1249616766006 is a wasteful number, since it uses less digits than its factorization.

1249616766006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294570 (or 294567 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1249616766006 in words is "one trillion, two hundred forty-nine billion, six hundred sixteen million, seven hundred sixty-six thousand, six".