1093395456 has 176 divisors, whose sum is σ = 3289610880. Its totient is φ = 358686720.

The previous prime is 1093395427. The next prime is 1093395461. The reversal of 1093395456 is 6545933901.

1093395456 is a `hidden beast` number, since 10 + 93 + 3 + 9 + 545 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1962730 + ... + 1963286.

Almost surely, 2^1093395456 is an apocalyptic number.

1093395456 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 1093395456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644805440).

1093395456 is an abundant number, since it is smaller than the sum of its proper divisors (2196215424).

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

1093395456 is an equidigital number, since it uses as much as digits as its factorization.

1093395456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 1093395456 is about 33066.5307524088. The cubic root of 1093395456 is about 1030.2099851513.

The spelling of 1093395456 in words is "one billion, ninety-three million, three hundred ninety-five thousand, four hundred fifty-six".