1233608372352 has 384 divisors, whose sum is σ = 3847426128000. Its totient is φ = 392704671744.

The previous prime is 1233608372287. The next prime is 1233608372389. The reversal of 1233608372352 is 2532738063321.

1233608372352 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 608 + 3 + 7 + 2 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1233608372298 and 1233608372307.

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, 721829674 + ... + 721831382.

It is an arithmetic number, because the mean of its divisors is an integer number (10019338875).

Almost surely, 2^{1233608372352} is an apocalyptic number.

1233608372352 is a gapful number since it is divisible by the number (12) 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 1233608372352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923713064000).

1233608372352 is an abundant number, since it is smaller than the sum of its proper divisors (2613817755648).

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

1233608372352 is a wasteful number, since it uses less digits than its factorization.

1233608372352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 1233608372352 in words is "one trillion, two hundred thirty-three billion, six hundred eight million, three hundred seventy-two thousand, three hundred fifty-two".