11545328620224 has 896 divisors, whose sum is σ = 40805941248000. Its totient is φ = 3132867538944.

The previous prime is 11545328620219. The next prime is 11545328620229. The reversal of 11545328620224 is 42202682354511.

11545328620224 is a `hidden beast` number, since 1 + 1 + 5 + 45 + 328 + 62 + 0 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (11545328620219) and next prime (11545328620229).

It is a super-2 number, since 2×11545328620224² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11545328620224.

It is not an unprimeable number, because it can be changed into a prime (11545328620229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2649832254 + ... + 2649836610.

Almost surely, 2^{11545328620224} is an apocalyptic number.

11545328620224 is a gapful number since it is divisible by the number (14) 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 11545328620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20402970624000).

11545328620224 is an abundant number, since it is smaller than the sum of its proper divisors (29260612627776).

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

11545328620224 is a wasteful number, since it uses less digits than its factorization.

11545328620224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 11545328620224 in words is "eleven trillion, five hundred forty-five billion, three hundred twenty-eight million, six hundred twenty thousand, two hundred twenty-four".