11451043872 has 480 divisors, whose sum is σ = 37620785664. Its totient is φ = 3400704000.

The previous prime is 11451043867. The next prime is 11451043883. The reversal of 11451043872 is 27834015411.

11451043872 is a `hidden beast` number, since 1 + 145 + 10 + 438 + 72 = 666.

It is a super-2 number, since 2×11451043872² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113376622 + ... + 113376722.

Almost surely, 2^11451043872 is an apocalyptic number.

11451043872 is a gapful number since it is divisible by the number (12) 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 11451043872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18810392832).

11451043872 is an abundant number, since it is smaller than the sum of its proper divisors (26169741792).

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

11451043872 is a wasteful number, since it uses less digits than its factorization.

11451043872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11451043872 in words is "eleven billion, four hundred fifty-one million, forty-three thousand, eight hundred seventy-two".