1148916384000 has 1728 divisors, whose sum is σ = 5214635532288. Its totient is φ = 235948032000.

The previous prime is 1148916383987. The next prime is 1148916384023. The reversal of 1148916384000 is 4836198411.

1148916384000 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 9 + 1 + 638 + 4 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×1148916384000³ (a number of 37 digits) contains 333 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 191 ways as a sum of consecutive naturals, for example, 2284127749 + ... + 2284128251.

It is an arithmetic number, because the mean of its divisors is an integer number (3017728896).

Almost surely, 2^{1148916384000} is an apocalyptic number.

1148916384000 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 1148916384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607317766144).

1148916384000 is an abundant number, since it is smaller than the sum of its proper divisors (4065719148288).

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

1148916384000 is a wasteful number, since it uses less digits than its factorization.

1148916384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 634 counting only the distinct ones).

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

The spelling of 1148916384000 in words is "one trillion, one hundred forty-eight billion, nine hundred sixteen million, three hundred eighty-four thousand".