1233145132344 has 24 divisors (see below), whose sum is σ = 3339768066960. Its totient is φ = 411048377424.

The previous prime is 1233145132339. The next prime is 1233145132357. The reversal of 1233145132344 is 4432315413321.

1233145132344 is a `hidden beast` number, since 1 + 233 + 1 + 4 + 51 + 32 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×1233145132344⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1233145132299 and 1233145132308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8563507792 + ... + 8563507935.

It is an arithmetic number, because the mean of its divisors is an integer number (139157002790).

Almost surely, 2^{1233145132344} is an apocalyptic number.

It is an amenable number.

1233145132344 is an abundant number, since it is smaller than the sum of its proper divisors (2106622934616).

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

1233145132344 is a wasteful number, since it uses less digits than its factorization.

1233145132344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17127015739 (or 17127015732 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 1233145132344 in words is "one trillion, two hundred thirty-three billion, one hundred forty-five million, one hundred thirty-two thousand, three hundred forty-four".