1338857856 has 128 divisors (see below), whose sum is σ = 4516070400. Its totient is φ = 382523904.

The previous prime is 1338857803. The next prime is 1338857879. The reversal of 1338857856 is 6587588331.

1338857856 is a `hidden beast` number, since 13 + 3 + 8 + 8 + 578 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3480 + ... + 51863.

It is an arithmetic number, because the mean of its divisors is an integer number (35281800).

Almost surely, 2^1338857856 is an apocalyptic number.

1338857856 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 1338857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258035200).

1338857856 is an abundant number, since it is smaller than the sum of its proper divisors (3177212544).

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

1338857856 is an equidigital number, since it uses as much as digits as its factorization.

1338857856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55373 (or 55355 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 1338857856 is about 36590.4066115697. The cubic root of 1338857856 is about 1102.1604526124.

The spelling of 1338857856 in words is "one billion, three hundred thirty-eight million, eight hundred fifty-seven thousand, eight hundred fifty-six".