1345102465410 has 256 divisors, whose sum is σ = 4094604656640. Its totient is φ = 311242176000.

The previous prime is 1345102465391. The next prime is 1345102465481. The reversal of 1345102465410 is 145642015431.

1345102465410 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 102 + 4 + 6 + 541 + 0 = 666.

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, 6621045 + ... + 6821175.

It is an arithmetic number, because the mean of its divisors is an integer number (15994549440).

Almost surely, 2^{1345102465410} is an apocalyptic number.

1345102465410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345102465410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047302328320).

1345102465410 is an abundant number, since it is smaller than the sum of its proper divisors (2749502191230).

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

1345102465410 is a wasteful number, since it uses less digits than its factorization.

1345102465410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200262 (or 200256 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1345102465410 in words is "one trillion, three hundred forty-five billion, one hundred two million, four hundred sixty-five thousand, four hundred ten".