1233377964 has 144 divisors (see below), whose sum is σ = 3851108352. Its totient is φ = 324107136.

The previous prime is 1233377947. The next prime is 1233377993. The reversal of 1233377964 is 4697733321.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254217 + ... + 1255199.

It is an arithmetic number, because the mean of its divisors is an integer number (26743808).

Almost surely, 2^1233377964 is an apocalyptic number.

1233377964 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 1233377964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925554176).

1233377964 is an abundant number, since it is smaller than the sum of its proper divisors (2617730388).

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

1233377964 is a wasteful number, since it uses less digits than its factorization.

1233377964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1391 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 1233377964 is about 35119.4812604059. The cubic root of 1233377964 is about 1072.4212105714.

The spelling of 1233377964 in words is "one billion, two hundred thirty-three million, three hundred seventy-seven thousand, nine hundred sixty-four".