1089041701248 has 256 divisors, whose sum is σ = 3520614456000. Its totient is φ = 329878241280.

The previous prime is 1089041701243. The next prime is 1089041701261. The reversal of 1089041701248 is 8421071409801.

1089041701248 is a `hidden beast` number, since 108 + 9 + 0 + 417 + 0 + 124 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089041701243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384218 + ... + 2023398.

Almost surely, 2^{1089041701248} is an apocalyptic number.

1089041701248 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 1089041701248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760307228000).

1089041701248 is an abundant number, since it is smaller than the sum of its proper divisors (2431572754752).

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

1089041701248 is a wasteful number, since it uses less digits than its factorization.

1089041701248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639250 (or 639232 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1089041701248 in words is "one trillion, eighty-nine billion, forty-one million, seven hundred one thousand, two hundred forty-eight".