11463806769408 has 864 divisors, whose sum is σ = 41267767403520. Its totient is φ = 3126086369280.

The previous prime is 11463806769403. The next prime is 11463806769433. The reversal of 11463806769408 is 80496760836411.

It is a happy number.

11463806769408 is a `hidden beast` number, since 1 + 1 + 463 + 80 + 6 + 7 + 6 + 94 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11463806769403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 766443466 + ... + 766458422.

It is an arithmetic number, because the mean of its divisors is an integer number (47763619680).

Almost surely, 2^{11463806769408} is an apocalyptic number.

11463806769408 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 11463806769408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633883701760).

11463806769408 is an abundant number, since it is smaller than the sum of its proper divisors (29803960634112).

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

11463806769408 is a wasteful number, since it uses less digits than its factorization.

11463806769408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15100 (or 15073 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 11463806769408 in words is "eleven trillion, four hundred sixty-three billion, eight hundred six million, seven hundred sixty-nine thousand, four hundred eight".