1334825856 has 576 divisors, whose sum is σ = 5142599280. Its totient is φ = 328237056.

The previous prime is 1334825813. The next prime is 1334825903. The reversal of 1334825856 is 6585284331.

1334825856 is a `hidden beast` number, since 1 + 3 + 348 + 258 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1334825856² = 3563520131692265472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12474955 + ... + 12475061.

Almost surely, 2^1334825856 is an apocalyptic number.

1334825856 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 1334825856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571299640).

1334825856 is an abundant number, since it is smaller than the sum of its proper divisors (3807773424).

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

1334825856 is a wasteful number, since it uses less digits than its factorization.

1334825856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 1334825856 is about 36535.2686592011. The cubic root of 1334825856 is about 1101.0529465934.

It can be divided in two parts, 13348 and 25856, that added together give a square (39204 = 198²).

The spelling of 1334825856 in words is "one billion, three hundred thirty-four million, eight hundred twenty-five thousand, eight hundred fifty-six".