11485829376 has 288 divisors, whose sum is σ = 39003444480. Its totient is φ = 3266002944.

The previous prime is 11485829353. The next prime is 11485829429. The reversal of 11485829376 is 67392858411.

11485829376 is a `hidden beast` number, since 1 + 1 + 485 + 8 + 2 + 93 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13401940 + ... + 13402796.

Almost surely, 2^11485829376 is an apocalyptic number.

11485829376 is a gapful number since it is divisible by the number (16) 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 11485829376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19501722240).

11485829376 is an abundant number, since it is smaller than the sum of its proper divisors (27517615104).

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

11485829376 is an equidigital number, since it uses as much as digits as its factorization.

11485829376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1146 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 11485829376 in words is "eleven billion, four hundred eighty-five million, eight hundred twenty-nine thousand, three hundred seventy-six".