1148988767472 has 400 divisors, whose sum is σ = 4096056710592. Its totient is φ = 302798684160.

The previous prime is 1148988767471. The next prime is 1148988767491. The reversal of 1148988767472 is 2747678898411.

1148988767472 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 9 + 88 + 76 + 7 + 472 = 666.

It is a super-3 number, since 3×1148988767472³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 1148988767472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148988767471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 200134522 + ... + 200140262.

Almost surely, 2^{1148988767472} is an apocalyptic number.

1148988767472 is a gapful number since it is divisible by the number (12) 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 1148988767472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048028355296).

1148988767472 is an abundant number, since it is smaller than the sum of its proper divisors (2947067943120).

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

1148988767472 is a wasteful number, since it uses less digits than its factorization.

1148988767472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7478 (or 7463 counting only the distinct ones).

The product of its digits is 303464448, while the sum is 72.

The spelling of 1148988767472 in words is "one trillion, one hundred forty-eight billion, nine hundred eighty-eight million, seven hundred sixty-seven thousand, four hundred seventy-two".