11652623823072 has 144 divisors (see below), whose sum is σ = 32288291788032. Its totient is φ = 3679146696960.

The previous prime is 11652623823059. The next prime is 11652623823101. The reversal of 11652623823072 is 27032832625611.

It is a super-3 number, since 3×11652623823072³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228946747 + ... + 228997637.

It is an arithmetic number, because the mean of its divisors is an integer number (224224248528).

Almost surely, 2^{11652623823072} is an apocalyptic number.

11652623823072 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 11652623823072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144145894016).

11652623823072 is an abundant number, since it is smaller than the sum of its proper divisors (20635667964960).

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

11652623823072 is a wasteful number, since it uses less digits than its factorization.

11652623823072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57549 (or 57522 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 11652623823072 in words is "eleven trillion, six hundred fifty-two billion, six hundred twenty-three million, eight hundred twenty-three thousand, seventy-two".