1114775197920 has 288 divisors, whose sum is σ = 3872527626240. Its totient is φ = 291941821440.

The previous prime is 1114775197901. The next prime is 1114775197973. The reversal of 1114775197920 is 297915774111.

1114775197920 is a `hidden beast` number, since 1 + 11 + 47 + 7 + 519 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 92345485 + ... + 92357555.

It is an arithmetic number, because the mean of its divisors is an integer number (13446276480).

Almost surely, 2^{1114775197920} is an apocalyptic number.

1114775197920 is a gapful number since it is divisible by the number (10) 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 1114775197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936263813120).

1114775197920 is an abundant number, since it is smaller than the sum of its proper divisors (2757752428320).

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

1114775197920 is a wasteful number, since it uses less digits than its factorization.

1114775197920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13238 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 54.

The spelling of 1114775197920 in words is "one trillion, one hundred fourteen billion, seven hundred seventy-five million, one hundred ninety-seven thousand, nine hundred twenty".