11447144016 has 720 divisors, whose sum is σ = 41737953600. Its totient is φ = 2682408960.

The previous prime is 11447143973. The next prime is 11447144047. The reversal of 11447144016 is 61044174411.

It is a super-2 number, since 2×11447144016² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156810156 + ... + 156810228.

It is an arithmetic number, because the mean of its divisors is an integer number (57969380).

Almost surely, 2^11447144016 is an apocalyptic number.

11447144016 is a gapful number since it is divisible by the number (16) 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 11447144016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20868976800).

11447144016 is an abundant number, since it is smaller than the sum of its proper divisors (30290809584).

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

11447144016 is a wasteful number, since it uses less digits than its factorization.

11447144016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 11447144016 in words is "eleven billion, four hundred forty-seven million, one hundred forty-four thousand, sixteen".