1293827385474 has 72 divisors (see below), whose sum is σ = 3044527981092. Its totient is φ = 396919111680.

The previous prime is 1293827385469. The next prime is 1293827385523. The reversal of 1293827385474 is 4745837283921.

It is a happy number.

1293827385474 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 82 + 7 + 3 + 8 + 547 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 198152290449 + 1095675095025 = 445143^2 + 1046745^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 394114 + ... + 1656194.

Almost surely, 2^{1293827385474} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293827385474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522263990546).

1293827385474 is an abundant number, since it is smaller than the sum of its proper divisors (1750700595618).

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

1293827385474 is a wasteful number, since it uses less digits than its factorization.

1293827385474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262452 (or 1262436 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 1293827385474 in words is "one trillion, two hundred ninety-three billion, eight hundred twenty-seven million, three hundred eighty-five thousand, four hundred seventy-four".