1385162856 has 640 divisors, whose sum is σ = 5419560960. Its totient is φ = 319334400.

The previous prime is 1385162851. The next prime is 1385162861. The reversal of 1385162856 is 6582615831.

1385162856 is a `hidden beast` number, since 13 + 8 + 5 + 1 + 628 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1385162851) and next prime (1385162861).

It is a super-2 number, since 2×1385162856² = 3837352275284153472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1385162851) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19509301 + ... + 19509371.

It is an arithmetic number, because the mean of its divisors is an integer number (8468064).

Almost surely, 2^1385162856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385162856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709780480).

1385162856 is an abundant number, since it is smaller than the sum of its proper divisors (4034398104).

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

1385162856 is a wasteful number, since it uses less digits than its factorization.

1385162856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1385162856 is about 37217.7760754186. The cubic root of 1385162856 is about 1114.7229582431.

The spelling of 1385162856 in words is "one billion, three hundred eighty-five million, one hundred sixty-two thousand, eight hundred fifty-six".