1128401860608 has 768 divisors, whose sum is σ = 3797381952000. Its totient is φ = 332160860160.

The previous prime is 1128401860489. The next prime is 1128401860633. The reversal of 1128401860608 is 8060681048211.

1128401860608 is a `hidden beast` number, since 1 + 1 + 28 + 4 + 0 + 18 + 6 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1822942923 + ... + 1822943541.

It is an arithmetic number, because the mean of its divisors is an integer number (4944507750).

Almost surely, 2^{1128401860608} is an apocalyptic number.

1128401860608 is a gapful number since it is divisible by the number (18) 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 1128401860608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898690976000).

1128401860608 is an abundant number, since it is smaller than the sum of its proper divisors (2668980091392).

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

1128401860608 is an frugal number, since it uses more digits than its factorization.

1128401860608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1128401860608 in words is "one trillion, one hundred twenty-eight billion, four hundred one million, eight hundred sixty thousand, six hundred eight".