1349149811688 has 512 divisors, whose sum is σ = 4611188736000. Its totient is φ = 357370030080.

The previous prime is 1349149811657. The next prime is 1349149811701. The reversal of 1349149811688 is 8861189419431.

1349149811688 is a `hidden beast` number, since 1 + 3 + 491 + 4 + 9 + 81 + 1 + 68 + 8 = 666.

It is a super-2 number, since 2×1349149811688² (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98622433 + ... + 98636111.

It is an arithmetic number, because the mean of its divisors is an integer number (9006228000).

Almost surely, 2^{1349149811688} is an apocalyptic number.

1349149811688 is a gapful number since it is divisible by the number (18) 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 1349149811688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305594368000).

1349149811688 is an abundant number, since it is smaller than the sum of its proper divisors (3262038924312).

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

1349149811688 is a wasteful number, since it uses less digits than its factorization.

1349149811688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13822 (or 13812 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 63.

The spelling of 1349149811688 in words is "one trillion, three hundred forty-nine billion, one hundred forty-nine million, eight hundred eleven thousand, six hundred eighty-eight".