1354275127296 has 1344 divisors, whose sum is σ = 5144449004100. Its totient is φ = 353158299648.

The previous prime is 1354275127273. The next prime is 1354275127357. The reversal of 1354275127296 is 6927215724531.

1354275127296 is a `hidden beast` number, since 1 + 3 + 5 + 427 + 5 + 127 + 2 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1185137049600 + 169138077696 = 1088640^2 + 411264^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1354275127296² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15216574420 + ... + 15216574508.

Almost surely, 2^{1354275127296} is an apocalyptic number.

1354275127296 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 1354275127296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572224502050).

1354275127296 is an abundant number, since it is smaller than the sum of its proper divisors (3790173876804).

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

1354275127296 is an frugal number, since it uses more digits than its factorization.

1354275127296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 114 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

Adding to 1354275127296 its product of digits (6350400), we get a square (1354281477696 = 1163736²).

The spelling of 1354275127296 in words is "one trillion, three hundred fifty-four billion, two hundred seventy-five million, one hundred twenty-seven thousand, two hundred ninety-six".