1011385368 has 192 divisors, whose sum is σ = 3235864320. Its totient is φ = 279417600.

The previous prime is 1011385367. The next prime is 1011385387. The reversal of 1011385368 is 8635831101.

1011385368 is a `hidden beast` number, since 1 + 0 + 113 + 8 + 536 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011385363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2059603 + ... + 2060093.

It is an arithmetic number, because the mean of its divisors is an integer number (16853460).

Almost surely, 2^1011385368 is an apocalyptic number.

1011385368 is a gapful number since it is divisible by the number (18) 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 1011385368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617932160).

1011385368 is an abundant number, since it is smaller than the sum of its proper divisors (2224478952).

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

1011385368 is a wasteful number, since it uses less digits than its factorization.

1011385368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1011385368 is about 31802.2855782411. The cubic root of 1011385368 is about 1003.7808101265.

It can be divided in two parts, 1011385 and 368, that added together give a triangular number (1011753 = T₁₄₂₂).

The spelling of 1011385368 in words is "one billion, eleven million, three hundred eighty-five thousand, three hundred sixty-eight".