11451304566144 has 96 divisors (see below), whose sum is σ = 32963946341040. Its totient is φ = 3815754961920.

The previous prime is 11451304566113. The next prime is 11451304566151. The reversal of 11451304566144 is 44166540315411.

11451304566144 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 130 + 456 + 61 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11451304566144² (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 11451304566144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1516309 + ... + 5020139.

Almost surely, 2^{11451304566144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11451304566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481973170520).

11451304566144 is an abundant number, since it is smaller than the sum of its proper divisors (21512641774896).

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

11451304566144 is a wasteful number, since it uses less digits than its factorization.

11451304566144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506688 (or 3506673 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 11451304566144 in words is "eleven trillion, four hundred fifty-one billion, three hundred four million, five hundred sixty-six thousand, one hundred forty-four".