11514327552 has 640 divisors, whose sum is σ = 42842257920. Its totient is φ = 3009871872.

The previous prime is 11514327527. The next prime is 11514327553. The reversal of 11514327552 is 25572341511.

11514327552 is a `hidden beast` number, since 1 + 151 + 432 + 75 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11514327553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101896648 + ... + 101896760.

It is an arithmetic number, because the mean of its divisors is an integer number (66941028).

Almost surely, 2^11514327552 is an apocalyptic number.

11514327552 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 11514327552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21421128960).

11514327552 is an abundant number, since it is smaller than the sum of its proper divisors (31327930368).

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

11514327552 is an frugal number, since it uses more digits than its factorization.

11514327552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The spelling of 11514327552 in words is "eleven billion, five hundred fourteen million, three hundred twenty-seven thousand, five hundred fifty-two".