1133448117984 has 288 divisors, whose sum is σ = 3983551475904. Its totient is φ = 297689333760.

The previous prime is 1133448117913. The next prime is 1133448118007. The reversal of 1133448117984 is 4897118443311.

1133448117984 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 448 + 117 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1133448117984² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1133448117984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6226402 + ... + 6405854.

It is an arithmetic number, because the mean of its divisors is an integer number (13831775958).

Almost surely, 2^{1133448117984} is an apocalyptic number.

1133448117984 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 1133448117984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991775737952).

1133448117984 is an abundant number, since it is smaller than the sum of its proper divisors (2850103357920).

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

1133448117984 is a wasteful number, since it uses less digits than its factorization.

1133448117984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179730 (or 179719 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

It can be divided in two parts, 113344 and 8117984, that added together give a palindrome (8231328).

The spelling of 1133448117984 in words is "one trillion, one hundred thirty-three billion, four hundred forty-eight million, one hundred seventeen thousand, nine hundred eighty-four".