11283347057664 has 528 divisors, whose sum is σ = 35744048741376. Its totient is φ = 3134641766400.

The previous prime is 11283347057639. The next prime is 11283347057699. The reversal of 11283347057664 is 46675074338211.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×11283347057664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 47 ways as a sum of consecutive naturals, for example, 378151354 + ... + 378181190.

Almost surely, 2^{11283347057664} 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 11283347057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17872024370688).

11283347057664 is an abundant number, since it is smaller than the sum of its proper divisors (24460701683712).

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

11283347057664 is a wasteful number, since it uses less digits than its factorization.

11283347057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29940 (or 29903 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 11283347057664 in words is "eleven trillion, two hundred eighty-three billion, three hundred forty-seven million, fifty-seven thousand, six hundred sixty-four".