11461016448 has 576 divisors, whose sum is σ = 41386475520. Its totient is φ = 2978519040.

The previous prime is 11461016419. The next prime is 11461016453. The reversal of 11461016448 is 84461016411.

It is a happy number.

11461016448 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 1 + 0 + 1 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90244161 + ... + 90244287.

It is an arithmetic number, because the mean of its divisors is an integer number (71851520).

Almost surely, 2^11461016448 is an apocalyptic number.

11461016448 is a gapful number since it is divisible by the number (18) 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 11461016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20693237760).

11461016448 is an abundant number, since it is smaller than the sum of its proper divisors (29925459072).

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

11461016448 is a wasteful number, since it uses less digits than its factorization.

11461016448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11461016448 in words is "eleven billion, four hundred sixty-one million, sixteen thousand, four hundred forty-eight".