11291545152 has 392 divisors, whose sum is σ = 35784365312. Its totient is φ = 3527193600.

The previous prime is 11291545141. The next prime is 11291545157. The reversal of 11291545152 is 25154519211.

11291545152 is a `hidden beast` number, since 1 + 1 + 2 + 91 + 54 + 515 + 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 (11291545157) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53514327 + ... + 53514537.

Almost surely, 2^11291545152 is an apocalyptic number.

11291545152 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 11291545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17892182656).

11291545152 is an abundant number, since it is smaller than the sum of its proper divisors (24492820160).

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

11291545152 is an equidigital number, since it uses as much as digits as its factorization.

11291545152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 284 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

The spelling of 11291545152 in words is "eleven billion, two hundred ninety-one million, five hundred forty-five thousand, one hundred fifty-two".