1345183902720 has 1056 divisors, whose sum is σ = 5738779238400. Its totient is φ = 284566487040.

The previous prime is 1345183902719. The next prime is 1345183902757. The reversal of 1345183902720 is 272093815431.

It is a happy number.

1345183902720 is a `hidden beast` number, since 1 + 3 + 4 + 518 + 3 + 90 + 27 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 229982356 + ... + 229988204.

Almost surely, 2^{1345183902720} is an apocalyptic number.

1345183902720 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 1345183902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869389619200).

1345183902720 is an abundant number, since it is smaller than the sum of its proper divisors (4393595335680).

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

1345183902720 is a wasteful number, since it uses less digits than its factorization.

1345183902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1345183902720 in words is "one trillion, three hundred forty-five billion, one hundred eighty-three million, nine hundred two thousand, seven hundred twenty".