1349508027168 has 336 divisors, whose sum is σ = 4792123667520. Its totient is φ = 365279528448.

The previous prime is 1349508027167. The next prime is 1349508027181. The reversal of 1349508027168 is 8617208059431.

1349508027168 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 508 + 0 + 2 + 71 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1349508027168² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1349508027167) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2885146 + ... + 3320102.

It is an arithmetic number, because the mean of its divisors is an integer number (14262272820).

It is a 1-persistent number, because it is pandigital, but 2⋅1349508027168 = 2699016054336 is not.

Almost surely, 2^{1349508027168} is an apocalyptic number.

1349508027168 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 1349508027168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396061833760).

1349508027168 is an abundant number, since it is smaller than the sum of its proper divisors (3442615640352).

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

1349508027168 is an equidigital number, since it uses as much as digits as its factorization.

1349508027168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435011 (or 434988 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1349508027168 in words is "one trillion, three hundred forty-nine billion, five hundred eight million, twenty-seven thousand, one hundred sixty-eight".