1098181914960 has 480 divisors, whose sum is σ = 3763350201600. Its totient is φ = 264737341440.

The previous prime is 1098181914959. The next prime is 1098181914971. The reversal of 1098181914960 is 694191818901.

It is a self number, because there is not a number n which added to its sum of digits gives 1098181914960.

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, 393471165 + ... + 393473955.

It is an arithmetic number, because the mean of its divisors is an integer number (7840312920).

Almost surely, 2^{1098181914960} is an apocalyptic number.

1098181914960 is a gapful number since it is divisible by the number (10) 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 1098181914960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881675100800).

1098181914960 is an abundant number, since it is smaller than the sum of its proper divisors (2665168286640).

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

1098181914960 is a wasteful number, since it uses less digits than its factorization.

1098181914960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 57.

The spelling of 1098181914960 in words is "one trillion, ninety-eight billion, one hundred eighty-one million, nine hundred fourteen thousand, nine hundred sixty".