1138623552 has 378 divisors, whose sum is σ = 3924826542. Its totient is φ = 314265600.

The previous prime is 1138623517. The next prime is 1138623557. The reversal of 1138623552 is 2553268311.

1138623552 is a `hidden beast` number, since 1 + 1 + 3 + 86 + 23 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1071645696 + 66977856 = 32736^2 + 8184^2 .

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

Its product of digits (43200) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1138623557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 36729777 + ... + 36729807.

It is an arithmetic number, because the mean of its divisors is an integer number (10383139).

Almost surely, 2^1138623552 is an apocalyptic number.

1138623552 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 1138623552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962413271).

1138623552 is an abundant number, since it is smaller than the sum of its proper divisors (2786202990).

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

1138623552 is a wasteful number, since it uses less digits than its factorization.

1138623552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 64 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1138623552 is about 33743.4964400549. The cubic root of 1138623552 is about 1044.2233194705.

The spelling of 1138623552 in words is "one billion, one hundred thirty-eight million, six hundred twenty-three thousand, five hundred fifty-two".