1345349770128 has 640 divisors, whose sum is σ = 4825341158400. Its totient is φ = 349435772928.

The previous prime is 1345349770109. The next prime is 1345349770133. The reversal of 1345349770128 is 8210779435431.

1345349770128 is a `hidden beast` number, since 1 + 3 + 4 + 534 + 97 + 7 + 0 + 12 + 8 = 666.

It is a super-2 number, since 2×1345349770128² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1109108850 + ... + 1109110062.

It is an arithmetic number, because the mean of its divisors is an integer number (7539595560).

Almost surely, 2^{1345349770128} is an apocalyptic number.

1345349770128 is a gapful number since it is divisible by the number (18) 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 1345349770128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412670579200).

1345349770128 is an abundant number, since it is smaller than the sum of its proper divisors (3479991388272).

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

1345349770128 is a wasteful number, since it uses less digits than its factorization.

1345349770128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1345349770128 in words is "one trillion, three hundred forty-five billion, three hundred forty-nine million, seven hundred seventy thousand, one hundred twenty-eight".