1145964232320 has 256 divisors, whose sum is σ = 3814120500480. Its totient is φ = 292108861440.

The previous prime is 1145964232271. The next prime is 1145964232331. The reversal of 1145964232320 is 232324695411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73165290 + ... + 73180950.

It is an arithmetic number, because the mean of its divisors is an integer number (14898908205).

Almost surely, 2^{1145964232320} is an apocalyptic number.

1145964232320 is a gapful number since it is divisible by the number (10) 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 1145964232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907060250240).

1145964232320 is an abundant number, since it is smaller than the sum of its proper divisors (2668156268160).

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

1145964232320 is a wasteful number, since it uses less digits than its factorization.

1145964232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17363 (or 17351 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 1145964232320 in words is "one trillion, one hundred forty-five billion, nine hundred sixty-four million, two hundred thirty-two thousand, three hundred twenty".