1148228717580 has 576 divisors, whose sum is σ = 4387973990400. Its totient is φ = 246042095616.

The previous prime is 1148228717501. The next prime is 1148228717611. The reversal of 1148228717580 is 857178228411.

1148228717580 is a `hidden beast` number, since 1 + 1 + 48 + 2 + 2 + 8 + 7 + 17 + 580 = 666.

It is a super-2 number, since 2×1148228717580² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 152099646 + ... + 152107194.

It is an arithmetic number, because the mean of its divisors is an integer number (7618010400).

Almost surely, 2^{1148228717580} is an apocalyptic number.

1148228717580 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 1148228717580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193986995200).

1148228717580 is an abundant number, since it is smaller than the sum of its proper divisors (3239745272820).

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

1148228717580 is a wasteful number, since it uses less digits than its factorization.

1148228717580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The spelling of 1148228717580 in words is "one trillion, one hundred forty-eight billion, two hundred twenty-eight million, seven hundred seventeen thousand, five hundred eighty".