11273248905408 has 504 divisors, whose sum is σ = 38440194960960. Its totient is φ = 3148381716480.

The previous prime is 11273248905361. The next prime is 11273248905409. The reversal of 11273248905408 is 80450984237211.

11273248905408 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 3 + 2 + 4 + 8 + 90 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×11273248905408² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11273248905409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 405367408 + ... + 405395216.

Almost surely, 2^{11273248905408} is an apocalyptic number.

11273248905408 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 11273248905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19220097480480).

11273248905408 is an abundant number, since it is smaller than the sum of its proper divisors (27166946055552).

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

11273248905408 is a wasteful number, since it uses less digits than its factorization.

11273248905408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28165 (or 28145 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 11273248905408 in words is "eleven trillion, two hundred seventy-three billion, two hundred forty-eight million, nine hundred five thousand, four hundred eight".