1349060817888 has 144 divisors (see below), whose sum is σ = 4467173439456. Its totient is φ = 378173352960.

The previous prime is 1349060817847. The next prime is 1349060817913. The reversal of 1349060817888 is 8887180609431.

1349060817888 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 0 + 608 + 17 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6206143 + ... + 6419838.

It is an arithmetic number, because the mean of its divisors is an integer number (31022037774).

Almost surely, 2^{1349060817888} is an apocalyptic number.

1349060817888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1349060817888 is an abundant number, since it is smaller than the sum of its proper divisors (3118112621568).

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

1349060817888 is a wasteful number, since it uses less digits than its factorization.

1349060817888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12626057 (or 12626046 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 1349060817888 in words is "one trillion, three hundred forty-nine billion, sixty million, eight hundred seventeen thousand, eight hundred eighty-eight".