11145451680 has 576 divisors, whose sum is σ = 45216662400. Its totient is φ = 2469519360.

The previous prime is 11145451657. The next prime is 11145451727. The reversal of 11145451680 is 8615454111.

11145451680 is a `hidden beast` number, since 1 + 1 + 14 + 54 + 516 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8727202 + ... + 8728478.

It is an arithmetic number, because the mean of its divisors is an integer number (78501150).

Almost surely, 2^11145451680 is an apocalyptic number.

11145451680 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 11145451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22608331200).

11145451680 is an abundant number, since it is smaller than the sum of its proper divisors (34071210720).

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

11145451680 is a wasteful number, since it uses less digits than its factorization.

11145451680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 11145451680 in words is "eleven billion, one hundred forty-five million, four hundred fifty-one thousand, six hundred eighty".