1148888617856 has 128 divisors (see below), whose sum is σ = 2629500024000. Its totient is φ = 489800908800.

The previous prime is 1148888617847. The next prime is 1148888617873. The reversal of 1148888617856 is 6587168888411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1148888617856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369534830 + ... + 369537938.

Almost surely, 2^{1148888617856} is an apocalyptic number.

1148888617856 is a gapful number since it is divisible by the number (16) 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 1148888617856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314750012000).

1148888617856 is an abundant number, since it is smaller than the sum of its proper divisors (1480611406144).

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

1148888617856 is a wasteful number, since it uses less digits than its factorization.

1148888617856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5148 counting only the distinct ones).

The product of its digits is 165150720, while the sum is 71.

The spelling of 1148888617856 in words is "one trillion, one hundred forty-eight billion, eight hundred eighty-eight million, six hundred seventeen thousand, eight hundred fifty-six".