1148036198400 has 2184 divisors, whose sum is σ = 5284278833120. Its totient is φ = 242223022080.

The previous prime is 1148036198399. The next prime is 1148036198443. The reversal of 1148036198400 is 48916308411.

1148036198400 is a `hidden beast` number, since 11 + 48 + 0 + 3 + 6 + 198 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2184).

It is a super-2 number, since 2×1148036198400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 88310476794 + ... + 88310476806.

Almost surely, 2^{1148036198400} is an apocalyptic number.

1148036198400 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 1148036198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642139416560).

1148036198400 is an abundant number, since it is smaller than the sum of its proper divisors (4136242634720).

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

1148036198400 is an frugal number, since it uses more digits than its factorization.

1148036198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1148036198400 in words is "one trillion, one hundred forty-eight billion, thirty-six million, one hundred ninety-eight thousand, four hundred".