1345018348800 has 1080 divisors, whose sum is σ = 6018200185536. Its totient is φ = 289335214080.

The previous prime is 1345018348777. The next prime is 1345018348823. The reversal of 1345018348800 is 88438105431.

1345018348800 is a `hidden beast` number, since 1 + 3 + 450 + 1 + 83 + 48 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1345018348777) and next prime (1345018348823).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×1345018348800² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61678699 + ... + 61700501.

Almost surely, 2^{1345018348800} is an apocalyptic number.

1345018348800 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 1345018348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009100092768).

1345018348800 is an abundant number, since it is smaller than the sum of its proper divisors (4673181836736).

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

1345018348800 is a wasteful number, since it uses less digits than its factorization.

1345018348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21865 (or 21837 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1345018348800 in words is "one trillion, three hundred forty-five billion, eighteen million, three hundred forty-eight thousand, eight hundred".