1148980689792 has 384 divisors, whose sum is σ = 3635867071200. Its totient is φ = 346135265280.

The previous prime is 1148980689763. The next prime is 1148980689811. The reversal of 1148980689792 is 2979860898411.

1148980689792 is a `hidden beast` number, since 1 + 1 + 489 + 80 + 68 + 9 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1148980689792.

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, 151957692 + ... + 151965252.

Almost surely, 2^{1148980689792} is an apocalyptic number.

1148980689792 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 1148980689792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817933535600).

1148980689792 is an abundant number, since it is smaller than the sum of its proper divisors (2486886381408).

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

1148980689792 is a wasteful number, since it uses less digits than its factorization.

1148980689792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7806 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 1148980689792 in words is "one trillion, one hundred forty-eight billion, nine hundred eighty million, six hundred eighty-nine thousand, seven hundred ninety-two".