1098856938816 has 1008 divisors, whose sum is σ = 4002657984000. Its totient is φ = 282144964608.

The previous prime is 1098856938779. The next prime is 1098856938821. The reversal of 1098856938816 is 6188396588901.

1098856938816 is a `hidden beast` number, since 10 + 9 + 8 + 8 + 569 + 38 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7374878710 + ... + 7374878858.

Almost surely, 2^{1098856938816} is an apocalyptic number.

1098856938816 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 1098856938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001328992000).

1098856938816 is an abundant number, since it is smaller than the sum of its proper divisors (2903801045184).

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

1098856938816 is a wasteful number, since it uses less digits than its factorization.

1098856938816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 1098856938816 in words is "one trillion, ninety-eight billion, eight hundred fifty-six million, nine hundred thirty-eight thousand, eight hundred sixteen".