11455082496 has 624 divisors, whose sum is σ = 40572578592. Its totient is φ = 3067084800.

The previous prime is 11455082489. The next prime is 11455082497. The reversal of 11455082496 is 69428055411.

11455082496 is a `hidden beast` number, since 1 + 1 + 4 + 550 + 8 + 2 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is not an unprimeable number, because it can be changed into a prime (11455082497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216133606 + ... + 216133658.

It is an arithmetic number, because the mean of its divisors is an integer number (65020158).

Almost surely, 2^11455082496 is an apocalyptic number.

11455082496 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 11455082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20286289296).

11455082496 is an abundant number, since it is smaller than the sum of its proper divisors (29117496096).

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

11455082496 is a wasteful number, since it uses less digits than its factorization.

11455082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11455082496 in words is "eleven billion, four hundred fifty-five million, eighty-two thousand, four hundred ninety-six".