11454289054560 has 288 divisors, whose sum is σ = 44111582030880. Its totient is φ = 2681045606400.

The previous prime is 11454289054469. The next prime is 11454289054567. The reversal of 11454289054560 is 6545098245411.

It is a happy number.

11454289054560 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 2 + 8 + 90 + 545 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 11454289054497 and 11454289054506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11454289054567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12008301 + ... + 12927020.

It is an arithmetic number, because the mean of its divisors is an integer number (153165215385).

Almost surely, 2^{11454289054560} is an apocalyptic number.

11454289054560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11454289054560 is an abundant number, since it is smaller than the sum of its proper divisors (32657292976320).

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

11454289054560 is a wasteful number, since it uses less digits than its factorization.

11454289054560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24935382 (or 24935371 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 11454289054560 in words is "eleven trillion, four hundred fifty-four billion, two hundred eighty-nine million, fifty-four thousand, five hundred sixty".