1129988848896 has 432 divisors, whose sum is σ = 3733073495424. Its totient is φ = 339085688832.

The previous prime is 1129988848847. The next prime is 1129988848903. The reversal of 1129988848896 is 6988488899211.

1129988848896 is a `hidden beast` number, since 1 + 129 + 9 + 8 + 8 + 8 + 488 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24300100 + ... + 24346556.

It is an arithmetic number, because the mean of its divisors is an integer number (8641373832).

Almost surely, 2^{1129988848896} is an apocalyptic number.

1129988848896 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 1129988848896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866536747712).

1129988848896 is an abundant number, since it is smaller than the sum of its proper divisors (2603084646528).

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

1129988848896 is an equidigital number, since it uses as much as digits as its factorization.

1129988848896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46528 (or 46502 counting only the distinct ones).

The product of its digits is 1146617856, while the sum is 81.

The spelling of 1129988848896 in words is "one trillion, one hundred twenty-nine billion, nine hundred eighty-eight million, eight hundred forty-eight thousand, eight hundred ninety-six".