1137666816 has 288 divisors, whose sum is σ = 3955875840. Its totient is φ = 317952000.

The previous prime is 1137666701. The next prime is 1137666823. The reversal of 1137666816 is 6186667311.

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, 987841 + ... + 988991.

It is an arithmetic number, because the mean of its divisors is an integer number (13735680).

Almost surely, 2^1137666816 is an apocalyptic number.

1137666816 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 1137666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977937920).

1137666816 is an abundant number, since it is smaller than the sum of its proper divisors (2818209024).

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

1137666816 is a wasteful number, since it uses less digits than its factorization.

1137666816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1180 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1137666816 is about 33729.3168623380. The cubic root of 1137666816 is about 1043.9307656558.

The spelling of 1137666816 in words is "one billion, one hundred thirty-seven million, six hundred sixty-six thousand, eight hundred sixteen".