11346547072 has 128 divisors (see below), whose sum is σ = 27451872000. Its totient is φ = 4563081216.

The previous prime is 11346547067. The next prime is 11346547123. The reversal of 11346547072 is 27074564311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11346547072² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 1818454 + ... + 1824682.

It is an arithmetic number, because the mean of its divisors is an integer number (214467750).

Almost surely, 2^11346547072 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 11346547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13725936000).

11346547072 is an abundant number, since it is smaller than the sum of its proper divisors (16105324928).

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

11346547072 is a wasteful number, since it uses less digits than its factorization.

11346547072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 11346547072 in words is "eleven billion, three hundred forty-six million, five hundred forty-seven thousand, seventy-two".