1307691114000 has 160 divisors (see below), whose sum is σ = 4216570300800. Its totient is φ = 348670144000.

The previous prime is 1307691113941. The next prime is 1307691114031. The reversal of 1307691114000 is 4111967031.

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 31 ways as a sum of consecutive naturals, for example, 79977826 + ... + 79994174.

It is an arithmetic number, because the mean of its divisors is an integer number (26353564380).

Almost surely, 2^{1307691114000} is an apocalyptic number.

1307691114000 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 1307691114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108285150400).

1307691114000 is an abundant number, since it is smaller than the sum of its proper divisors (2908879186800).

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

1307691114000 is a wasteful number, since it uses less digits than its factorization.

1307691114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29706 (or 29690 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 1307691114000 in words is "one trillion, three hundred seven billion, six hundred ninety-one million, one hundred fourteen thousand".