1523316400256 has 64 divisors (see below), whose sum is σ = 3473980039680. Its totient is φ = 651774117888.

The previous prime is 1523316400253. The next prime is 1523316400283. The reversal of 1523316400256 is 6520046133251.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1523316400253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856565 + ... + 1944308.

It is an arithmetic number, because the mean of its divisors is an integer number (54280938120).

Almost surely, 2^{1523316400256} is an apocalyptic number.

1523316400256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1523316400256 is an abundant number, since it is smaller than the sum of its proper divisors (1950663639424).

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

1523316400256 is an equidigital number, since it uses as much as digits as its factorization.

1523316400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801501 (or 2801489 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 1523316400256 in words is "one trillion, five hundred twenty-three billion, three hundred sixteen million, four hundred thousand, two hundred fifty-six".