1123877664 has 576 divisors, whose sum is σ = 4322223360. Its totient is φ = 268738560.

The previous prime is 1123877653. The next prime is 1123877693. The reversal of 1123877664 is 4667783211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18424194 + ... + 18424254.

It is an arithmetic number, because the mean of its divisors is an integer number (7503860).

It is a vampire number, since it can be written as 14763 ⋅ 76128 (with its own digits).

Almost surely, 2^1123877664 is an apocalyptic number.

1123877664 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 1123877664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161111680).

1123877664 is an abundant number, since it is smaller than the sum of its proper divisors (3198345696).

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

1123877664 is a wasteful number, since it uses less digits than its factorization.

1123877664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1123877664 is about 33524.2846903554. The cubic root of 1123877664 is about 1039.6959367512.

The spelling of 1123877664 in words is "one billion, one hundred twenty-three million, eight hundred seventy-seven thousand, six hundred sixty-four".