1294787058048 has 480 divisors, whose sum is σ = 4248297086880. Its totient is φ = 391166392320.

The previous prime is 1294787058001. The next prime is 1294787058049. The reversal of 1294787058048 is 8408507874921.

1294787058048 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 7 + 8 + 7 + 0 + 580 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1294787058049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 467937561 + ... + 467940327.

It is an arithmetic number, because the mean of its divisors is an integer number (8850618931).

Almost surely, 2^{1294787058048} is an apocalyptic number.

1294787058048 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 1294787058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124148543440).

1294787058048 is an abundant number, since it is smaller than the sum of its proper divisors (2953510028832).

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

1294787058048 is a wasteful number, since it uses less digits than its factorization.

1294787058048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 1294787058048 in words is "one trillion, two hundred ninety-four billion, seven hundred eighty-seven million, fifty-eight thousand, forty-eight".