1349972171100 has 1080 divisors, whose sum is σ = 5338730361888. Its totient is φ = 288987264000.

The previous prime is 1349972171089. The next prime is 1349972171101. The reversal of 1349972171100 is 11712799431.

It is a happy number.

1349972171100 is a `hidden beast` number, since 1 + 349 + 97 + 217 + 1 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349972171101) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 2067338374 + ... + 2067339026.

Almost surely, 2^{1349972171100} is an apocalyptic number.

1349972171100 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 1349972171100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669365180944).

1349972171100 is an abundant number, since it is smaller than the sum of its proper divisors (3988758190788).

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

1349972171100 is a wasteful number, since it uses less digits than its factorization.

1349972171100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 1349972171100 in words is "one trillion, three hundred forty-nine billion, nine hundred seventy-two million, one hundred seventy-one thousand, one hundred".