1385056512 has 216 divisors, whose sum is σ = 4601420096. Its totient is φ = 392491008.

The previous prime is 1385056493. The next prime is 1385056523. The reversal of 1385056512 is 2156505831.

It is a happy number.

1385056512 is a `hidden beast` number, since 1 + 3 + 85 + 0 + 565 + 12 = 666.

It is a super-2 number, since 2×1385056512² = 3836763082867212288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2531823 + ... + 2532369.

Almost surely, 2^1385056512 is an apocalyptic number.

1385056512 is a gapful number since it is divisible by the number (12) 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 1385056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300710048).

1385056512 is an abundant number, since it is smaller than the sum of its proper divisors (3216363584).

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

1385056512 is a wasteful number, since it uses less digits than its factorization.

1385056512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 1385056512 is about 37216.3473758508. The cubic root of 1385056512 is about 1114.6944303985.

The spelling of 1385056512 in words is "one billion, three hundred eighty-five million, fifty-six thousand, five hundred twelve".