1353623256004 has 24 divisors (see below), whose sum is σ = 2508392116440. Its totient is φ = 636946392576.

The previous prime is 1353623255981. The next prime is 1353623256043. The reversal of 1353623256004 is 4006523263531.

It can be written as a sum of positive squares in 4 ways, for example, as 367272360900 + 986350895104 = 606030^2 + 993152^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7962 + ... + 1645390.

It is an arithmetic number, because the mean of its divisors is an integer number (104516338185).

Almost surely, 2^{1353623256004} is an apocalyptic number.

It is an amenable number.

1353623256004 is a deficient number, since it is larger than the sum of its proper divisors (1154768860436).

1353623256004 is a wasteful number, since it uses less digits than its factorization.

1353623256004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649607 (or 1649605 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 1353623256004 in words is "one trillion, three hundred fifty-three billion, six hundred twenty-three million, two hundred fifty-six thousand, four".