11049349363416 has 864 divisors, whose sum is σ = 39215736705600. Its totient is φ = 2904820289280.

The previous prime is 11049349363387. The next prime is 11049349363427. The reversal of 11049349363416 is 61436394394011.

11049349363416 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 93 + 493 + 63 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6101241151 + ... + 6101242961.

It is an arithmetic number, because the mean of its divisors is an integer number (45388584150).

Almost surely, 2^{11049349363416} 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 11049349363416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19607868352800).

11049349363416 is an abundant number, since it is smaller than the sum of its proper divisors (28166387342184).

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

11049349363416 is a wasteful number, since it uses less digits than its factorization.

11049349363416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 11049349363416 in words is "eleven trillion, forty-nine billion, three hundred forty-nine million, three hundred sixty-three thousand, four hundred sixteen".