1356204864 has 224 divisors, whose sum is σ = 4337360896. Its totient is φ = 365783040.

The previous prime is 1356204853. The next prime is 1356204901. The reversal of 1356204864 is 4684026531.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1791174 + ... + 1791930.

Almost surely, 2^1356204864 is an apocalyptic number.

1356204864 is a gapful number since it is divisible by the number (14) 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 1356204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168680448).

1356204864 is an abundant number, since it is smaller than the sum of its proper divisors (2981156032).

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

1356204864 is a wasteful number, since it uses less digits than its factorization.

1356204864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1356204864 is about 36826.6868452757. The cubic root of 1356204864 is about 1106.9001149422.

The spelling of 1356204864 in words is "one billion, three hundred fifty-six million, two hundred four thousand, eight hundred sixty-four".