1293827385476 has 12 divisors (see below), whose sum is σ = 2264304528780. Its totient is φ = 646883234400.

The previous prime is 1293827385469. The next prime is 1293827385523. The reversal of 1293827385476 is 6745837283921.

It can be written as a sum of positive squares in 2 ways, for example, as 400942240000 + 892885145476 = 633200^2 + 944926^2 .

It is a super-3 number, since 3×1293827385476³ (a number of 37 digits) contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 7518875 + ... + 7689026.

It is an arithmetic number, because the mean of its divisors is an integer number (188692044065).

Almost surely, 2^{1293827385476} is an apocalyptic number.

It is an amenable number.

1293827385476 is a deficient number, since it is larger than the sum of its proper divisors (970477143304).

1293827385476 is a wasteful number, since it uses less digits than its factorization.

1293827385476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15229174 (or 15229172 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 65.

The spelling of 1293827385476 in words is "one trillion, two hundred ninety-three billion, eight hundred twenty-seven million, three hundred eighty-five thousand, four hundred seventy-six".