1100516743416 has 128 divisors (see below), whose sum is σ = 2976187968000. Its totient is φ = 337932145152.

The previous prime is 1100516743399. The next prime is 1100516743451. The reversal of 1100516743416 is 6143476150011.

It is a super-2 number, since 2×1100516743416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28815165 + ... + 28853331.

It is an arithmetic number, because the mean of its divisors is an integer number (23251468500).

Almost surely, 2^{1100516743416} 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 1100516743416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488093984000).

1100516743416 is an abundant number, since it is smaller than the sum of its proper divisors (1875671224584).

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

1100516743416 is a wasteful number, since it uses less digits than its factorization.

1100516743416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39941 (or 39937 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 1100516743416 in words is "one trillion, one hundred billion, five hundred sixteen million, seven hundred forty-three thousand, four hundred sixteen".