1138473504 has 288 divisors, whose sum is σ = 3957617664. Its totient is φ = 303367680.

The previous prime is 1138473491. The next prime is 1138473509. The reversal of 1138473504 is 4053748311.

It is a happy number.

1138473504 is a `hidden beast` number, since 1 + 1 + 3 + 84 + 73 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1138473504² = 2592243838620076032, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1138473509) 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, 1993539 + ... + 1994109.

It is an arithmetic number, because the mean of its divisors is an integer number (13741728).

Almost surely, 2^1138473504 is an apocalyptic number.

1138473504 is a gapful number since it is divisible by the number (14) 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 1138473504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978808832).

1138473504 is an abundant number, since it is smaller than the sum of its proper divisors (2819144160).

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

1138473504 is a wasteful number, since it uses less digits than its factorization.

1138473504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1138473504 is about 33741.2730050305. The cubic root of 1138473504 is about 1044.1774481482.

The spelling of 1138473504 in words is "one billion, one hundred thirty-eight million, four hundred seventy-three thousand, five hundred four".