1098897023664 has 720 divisors, whose sum is σ = 3898105192800. Its totient is φ = 286634557440.

The previous prime is 1098897023663. The next prime is 1098897023669. The reversal of 1098897023664 is 4663207988901.

1098897023664 is a `hidden beast` number, since 109 + 88 + 97 + 0 + 2 + 366 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1098897023663) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163207242 + ... + 163213974.

It is an arithmetic number, because the mean of its divisors is an integer number (5414034990).

Almost surely, 2^{1098897023664} 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 1098897023664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949052596400).

1098897023664 is an abundant number, since it is smaller than the sum of its proper divisors (2799208169136).

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

1098897023664 is a wasteful number, since it uses less digits than its factorization.

1098897023664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1098897023664 in words is "one trillion, ninety-eight billion, eight hundred ninety-seven million, twenty-three thousand, six hundred sixty-four".