1098180847764 has 1008 divisors, whose sum is σ = 3998563906176. Its totient is φ = 259248729600.

The previous prime is 1098180847739. The next prime is 1098180847787. The reversal of 1098180847764 is 4677480818901.

1098180847764 is a `hidden beast` number, since 1 + 0 + 9 + 81 + 80 + 8 + 477 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1450700874 + ... + 1450701630.

It is an arithmetic number, because the mean of its divisors is an integer number (3966829272).

Almost surely, 2^{1098180847764} is an apocalyptic number.

1098180847764 is a gapful number since it is divisible by the number (14) 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 1098180847764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999281953088).

1098180847764 is an abundant number, since it is smaller than the sum of its proper divisors (2900383058412).

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

1098180847764 is a wasteful number, since it uses less digits than its factorization.

1098180847764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 1098180847764 in words is "one trillion, ninety-eight billion, one hundred eighty million, eight hundred forty-seven thousand, seven hundred sixty-four".