1148987796480 has 1188 divisors, whose sum is σ = 4482156725280. Its totient is φ = 272052781056.

The previous prime is 1148987796479. The next prime is 1148987796491. The reversal of 1148987796480 is 846977898411.

1148987796480 is a `hidden beast` number, since 1 + 1 + 489 + 8 + 7 + 7 + 9 + 64 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1148987796399 and 1148987796408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4807480201 + ... + 4807480439.

Almost surely, 2^{1148987796480} is an apocalyptic number.

1148987796480 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 1148987796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241078362640).

1148987796480 is an abundant number, since it is smaller than the sum of its proper divisors (3333168928800).

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

1148987796480 is a wasteful number, since it uses less digits than its factorization.

1148987796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 1148987796480 in words is "one trillion, one hundred forty-eight billion, nine hundred eighty-seven million, seven hundred ninety-six thousand, four hundred eighty".