11446134347648 has 256 divisors, whose sum is σ = 30919576020480. Its totient is φ = 4075729920000.

The previous prime is 11446134347597. The next prime is 11446134347707. The reversal of 11446134347648 is 84674343164411.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 11446134347593 and 11446134347602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12498683 + ... + 13383173.

It is an arithmetic number, because the mean of its divisors is an integer number (120779593830).

Almost surely, 2^{11446134347648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11446134347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15459788010240).

11446134347648 is an abundant number, since it is smaller than the sum of its proper divisors (19473441672832).

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

11446134347648 is a wasteful number, since it uses less digits than its factorization.

11446134347648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884637 (or 884625 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 56.

The spelling of 11446134347648 in words is "eleven trillion, four hundred forty-six billion, one hundred thirty-four million, three hundred forty-seven thousand, six hundred forty-eight".