1355561856 has 192 divisors, whose sum is σ = 4441357440. Its totient is φ = 392832000.

The previous prime is 1355561849. The next prime is 1355561887. The reversal of 1355561856 is 6581655531.

1355561856 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 561 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289131 + ... + 293781.

It is an arithmetic number, because the mean of its divisors is an integer number (23132070).

Almost surely, 2^1355561856 is an apocalyptic number.

1355561856 is a gapful number since it is divisible by the number (16) 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 1355561856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220678720).

1355561856 is an abundant number, since it is smaller than the sum of its proper divisors (3085795584).

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

1355561856 is a wasteful number, since it uses less digits than its factorization.

1355561856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4690 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The square root of 1355561856 is about 36817.9556195072. The cubic root of 1355561856 is about 1106.7251516647.

The spelling of 1355561856 in words is "one billion, three hundred fifty-five million, five hundred sixty-one thousand, eight hundred fifty-six".