1098735741312 has 768 divisors, whose sum is σ = 3429571622400. Its totient is φ = 310989127680.

The previous prime is 1098735741307. The next prime is 1098735741331. The reversal of 1098735741312 is 2131475378901.

1098735741312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6579255853 + ... + 6579256019.

It is an arithmetic number, because the mean of its divisors is an integer number (4465588050).

Almost surely, 2^{1098735741312} is an apocalyptic number.

1098735741312 is a gapful number since it is divisible by the number (12) 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 1098735741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714785811200).

1098735741312 is an abundant number, since it is smaller than the sum of its proper divisors (2330835881088).

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

1098735741312 is a wasteful number, since it uses less digits than its factorization.

1098735741312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 1098735741312 in words is "one trillion, ninety-eight billion, seven hundred thirty-five million, seven hundred forty-one thousand, three hundred twelve".