1138219776 has 288 divisors, whose sum is σ = 3620332800. Its totient is φ = 356078592.

The previous prime is 1138219769. The next prime is 1138219781. The reversal of 1138219776 is 6779128311.

1138219776 is a `hidden beast` number, since 11 + 382 + 197 + 76 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10637515 + ... + 10637621.

It is an arithmetic number, because the mean of its divisors is an integer number (12570600).

Almost surely, 2^1138219776 is an apocalyptic number.

1138219776 is a gapful number since it is divisible by the number (16) 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 1138219776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810166400).

1138219776 is an abundant number, since it is smaller than the sum of its proper divisors (2482113024).

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

1138219776 is an frugal number, since it uses more digits than its factorization.

1138219776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 1138219776 is about 33737.5128899568. The cubic root of 1138219776 is about 1044.0998715397.

The spelling of 1138219776 in words is "one billion, one hundred thirty-eight million, two hundred nineteen thousand, seven hundred seventy-six".