1347435745680 has 160 divisors (see below), whose sum is σ = 4280249796480. Its totient is φ = 350444277760.

The previous prime is 1347435745657. The next prime is 1347435745697. The reversal of 1347435745680 is 865475347431.

It is a Cunningham number, because it is equal to 1160791²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 1347435745680.

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, 34804414 + ... + 34843106.

It is an arithmetic number, because the mean of its divisors is an integer number (26751561228).

Almost surely, 2^{1347435745680} is an apocalyptic number.

1347435745680 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 1347435745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140124898240).

1347435745680 is an abundant number, since it is smaller than the sum of its proper divisors (2932814050800).

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

1347435745680 is a wasteful number, since it uses less digits than its factorization.

1347435745680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42289 (or 42283 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 1347435745680 in words is "one trillion, three hundred forty-seven billion, four hundred thirty-five million, seven hundred forty-five thousand, six hundred eighty".