1099903624416 has 144 divisors (see below), whose sum is σ = 3154723135200. Its totient is φ = 363496080384.

The previous prime is 1099903624373. The next prime is 1099903624453. The reversal of 1099903624416 is 6144263099901.

It is a happy number.

1099903624416 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 9 + 0 + 3 + 624 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18679950 + ... + 18738738.

It is an arithmetic number, because the mean of its divisors is an integer number (21907799550).

Almost surely, 2^{1099903624416} is an apocalyptic number.

1099903624416 is a gapful number since it is divisible by the number (16) 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 1099903624416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577361567600).

1099903624416 is an abundant number, since it is smaller than the sum of its proper divisors (2054819510784).

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

1099903624416 is a wasteful number, since it uses less digits than its factorization.

1099903624416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59361 (or 59350 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 1099903624416 in words is "one trillion, ninety-nine billion, nine hundred three million, six hundred twenty-four thousand, four hundred sixteen".