11641418496 has 324 divisors, whose sum is σ = 36207007200. Its totient is φ = 3730987008.

The previous prime is 11641418483. The next prime is 11641418507. The reversal of 11641418496 is 69481414611.

11641418496 is a `hidden beast` number, since 1 + 16 + 4 + 141 + 8 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48708745 + ... + 48708983.

Almost surely, 2^11641418496 is an apocalyptic number.

11641418496 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 11641418496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18103503600).

11641418496 is an abundant number, since it is smaller than the sum of its proper divisors (24565588704).

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

11641418496 is an frugal number, since it uses more digits than its factorization.

11641418496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 273 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 11641418496 in words is "eleven billion, six hundred forty-one million, four hundred eighteen thousand, four hundred ninety-six".