1345061016352 has 192 divisors, whose sum is σ = 2863547134560. Its totient is φ = 621834928128.

The previous prime is 1345061016337. The next prime is 1345061016367. The reversal of 1345061016352 is 2536101605431.

It is an interprime number because it is at equal distance from previous prime (1345061016337) and next prime (1345061016367).

It can be written as a sum of positive squares in 16 ways, for example, as 294280210576 + 1050780805776 = 542476^2 + 1025076^2 .

It is a super-2 number, since 2×1345061016352² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2943240508 + ... + 2943240964.

Almost surely, 2^{1345061016352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345061016352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431773567280).

1345061016352 is an abundant number, since it is smaller than the sum of its proper divisors (1518486118208).

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

1345061016352 is an equidigital number, since it uses as much as digits as its factorization.

1345061016352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 1345061016352 in words is "one trillion, three hundred forty-five billion, sixty-one million, sixteen thousand, three hundred fifty-two".