11472556032 has 312 divisors, whose sum is σ = 39540119424. Its totient is φ = 3133734912.

The previous prime is 11472555989. The next prime is 11472556093. The reversal of 11472556032 is 23065527411.

11472556032 is a `hidden beast` number, since 1 + 1 + 4 + 72 + 556 + 0 + 32 = 666.

It is a super-3 number, since 3×11472556032³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5934138 + ... + 5936070.

It is an arithmetic number, because the mean of its divisors is an integer number (126731152).

Almost surely, 2^11472556032 is an apocalyptic number.

11472556032 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 11472556032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19770059712).

11472556032 is an abundant number, since it is smaller than the sum of its proper divisors (28067563392).

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

11472556032 is a wasteful number, since it uses less digits than its factorization.

11472556032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 11472556032 in words is "eleven billion, four hundred seventy-two million, five hundred fifty-six thousand, thirty-two".