1177138368 has 252 divisors, whose sum is σ = 3963786840. Its totient is φ = 333010944.

The previous prime is 1177138363. The next prime is 1177138379. The reversal of 1177138368 is 8638317711.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1177138363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5051980 + ... + 5052212.

Almost surely, 2^1177138368 is an apocalyptic number.

1177138368 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 1177138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981893420).

1177138368 is an abundant number, since it is smaller than the sum of its proper divisors (2786648472).

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

1177138368 is a wasteful number, since it uses less digits than its factorization.

1177138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 1177138368 is about 34309.4501267508. The cubic root of 1177138368 is about 1055.8668909358.

The spelling of 1177138368 in words is "one billion, one hundred seventy-seven million, one hundred thirty-eight thousand, three hundred sixty-eight".