11445467712 has 112 divisors (see below), whose sum is σ = 34673316480. Its totient is φ = 3264049152.

The previous prime is 11445467701. The next prime is 11445467749. The reversal of 11445467712 is 21776454411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11445467712² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740964 + ... + 756252.

Almost surely, 2^11445467712 is an apocalyptic number.

11445467712 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 11445467712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336658240).

11445467712 is an abundant number, since it is smaller than the sum of its proper divisors (23227848768).

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

11445467712 is a wasteful number, since it uses less digits than its factorization.

11445467712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15868 (or 15858 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The spelling of 11445467712 in words is "eleven billion, four hundred forty-five million, four hundred sixty-seven thousand, seven hundred twelve".