1148781168900 has 576 divisors, whose sum is σ = 3916931800320. Its totient is φ = 288437760000.

The previous prime is 1148781168883. The next prime is 1148781168901. The reversal of 1148781168900 is 98611878411.

1148781168900 is a `hidden beast` number, since 1 + 1 + 487 + 8 + 11 + 68 + 90 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1148781168901) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 536561830 + ... + 536563970.

It is an arithmetic number, because the mean of its divisors is an integer number (6800228820).

Almost surely, 2^{1148781168900} is an apocalyptic number.

1148781168900 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 1148781168900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958465900160).

1148781168900 is an abundant number, since it is smaller than the sum of its proper divisors (2768150631420).

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

1148781168900 is a wasteful number, since it uses less digits than its factorization.

1148781168900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 1148781168900 in words is "one trillion, one hundred forty-eight billion, seven hundred eighty-one million, one hundred sixty-eight thousand, nine hundred".