1131987414096 has 240 divisors, whose sum is σ = 3961100901888. Its totient is φ = 293174380800.

The previous prime is 1131987414073. The next prime is 1131987414097. The reversal of 1131987414096 is 6904147891311.

It is a happy number.

1131987414096 is a `hidden beast` number, since 1 + 1 + 3 + 198 + 7 + 41 + 409 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131987414097) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3700431 + ... + 3994641.

Almost surely, 2^{1131987414096} is an apocalyptic number.

1131987414096 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 1131987414096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980550450944).

1131987414096 is an abundant number, since it is smaller than the sum of its proper divisors (2829113487792).

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

1131987414096 is a wasteful number, since it uses less digits than its factorization.

1131987414096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294590 (or 294581 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1131987414096 in words is "one trillion, one hundred thirty-one billion, nine hundred eighty-seven million, four hundred fourteen thousand, ninety-six".