1291113942048 has 864 divisors, whose sum is σ = 4639382407296. Its totient is φ = 332297551872.

The previous prime is 1291113942043. The next prime is 1291113942077. The reversal of 1291113942048 is 8402493111921.

1291113942048 is a `hidden beast` number, since 1 + 2 + 91 + 1 + 139 + 420 + 4 + 8 = 666.

It is a super-2 number, since 2×1291113942048² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1291113941994 and 1291113942012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1291113942043) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12535086765 + ... + 12535086867.

It is an arithmetic number, because the mean of its divisors is an integer number (5369655564).

Almost surely, 2^{1291113942048} is an apocalyptic number.

1291113942048 is a gapful number since it is divisible by the number (18) 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 1291113942048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319691203648).

1291113942048 is an abundant number, since it is smaller than the sum of its proper divisors (3348268465248).

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

1291113942048 is a wasteful number, since it uses less digits than its factorization.

1291113942048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1291113942048 in words is "one trillion, two hundred ninety-one billion, one hundred thirteen million, nine hundred forty-two thousand, forty-eight".