1349863345776 has 160 divisors (see below), whose sum is σ = 4018199961600. Its totient is φ = 386648236800.

The previous prime is 1349863345741. The next prime is 1349863345783. The reversal of 1349863345776 is 6775433689431.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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, 255126 + ... + 1662773.

It is an arithmetic number, because the mean of its divisors is an integer number (25113749760).

Almost surely, 2^{1349863345776} is an apocalyptic number.

1349863345776 is a gapful number since it is divisible by the number (16) 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 1349863345776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009099980800).

1349863345776 is an abundant number, since it is smaller than the sum of its proper divisors (2668336615824).

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

1349863345776 is a wasteful number, since it uses less digits than its factorization.

1349863345776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917995 (or 1917989 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 66.

The spelling of 1349863345776 in words is "one trillion, three hundred forty-nine billion, eight hundred sixty-three million, three hundred forty-five thousand, seven hundred seventy-six".