1345504332000 has 96 divisors (see below), whose sum is σ = 4407872230944. Its totient is φ = 358801152000.

The previous prime is 1345504331959. The next prime is 1345504332041. The reversal of 1345504332000 is 2334055431.

It is an interprime number because it is at equal distance from previous prime (1345504331959) and next prime (1345504332041).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56050681 + ... + 56074680.

It is an arithmetic number, because the mean of its divisors is an integer number (45915335739).

Almost surely, 2^{1345504332000} is an apocalyptic number.

1345504332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345504332000 is an abundant number, since it is smaller than the sum of its proper divisors (3062367898944).

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

1345504332000 is a wasteful number, since it uses less digits than its factorization.

1345504332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112125389 (or 112125371 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 1345504332000 its reverse (2334055431), we get a palindrome (1347838387431).

The spelling of 1345504332000 in words is "one trillion, three hundred forty-five billion, five hundred four million, three hundred thirty-two thousand".