1098114796800 has 2160 divisors, whose sum is σ = 4946163425280. Its totient is φ = 234957127680.

The previous prime is 1098114796739. The next prime is 1098114796813. The reversal of 1098114796800 is 86974118901.

1098114796800 is a `hidden beast` number, since 1 + 0 + 98 + 1 + 1 + 479 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×1098114796800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4924281489 + ... + 4924281711.

Almost surely, 2^{1098114796800} is an apocalyptic number.

1098114796800 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 1098114796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473081712640).

1098114796800 is an abundant number, since it is smaller than the sum of its proper divisors (3848048628480).

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

1098114796800 is a wasteful number, since it uses less digits than its factorization.

1098114796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 1098114796800 in words is "one trillion, ninety-eight billion, one hundred fourteen million, seven hundred ninety-six thousand, eight hundred".