1345833780480 has 648 divisors, whose sum is σ = 5450284318752. Its totient is φ = 305711013888.

The previous prime is 1345833780463. The next prime is 1345833780523. The reversal of 1345833780480 is 840873385431.

It is a happy number.

1345833780480 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 83 + 3 + 7 + 80 + 480 = 666.

It is a super-2 number, since 2×1345833780480² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92002927 + ... + 92017553.

Almost surely, 2^{1345833780480} is an apocalyptic number.

1345833780480 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 1345833780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725142159376).

1345833780480 is an abundant number, since it is smaller than the sum of its proper divisors (4104450538272).

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

1345833780480 is a wasteful number, since it uses less digits than its factorization.

1345833780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14831 (or 14807 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1345833780480 in words is "one trillion, three hundred forty-five billion, eight hundred thirty-three million, seven hundred eighty thousand, four hundred eighty".