1114677474120 has 1152 divisors, whose sum is σ = 4654748592000. Its totient is φ = 229711749120.

The previous prime is 1114677474107. The next prime is 1114677474143. The reversal of 1114677474120 is 214747764111.

It is a happy number.

1114677474120 is a `hidden beast` number, since 1 + 11 + 46 + 7 + 7 + 474 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 709532935 + ... + 709534505.

It is an arithmetic number, because the mean of its divisors is an integer number (4040580375).

Almost surely, 2^{1114677474120} is an apocalyptic number.

1114677474120 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 1114677474120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327374296000).

1114677474120 is an abundant number, since it is smaller than the sum of its proper divisors (3540071117880).

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

1114677474120 is a wasteful number, since it uses less digits than its factorization.

1114677474120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 1114677474120 in words is "one trillion, one hundred fourteen billion, six hundred seventy-seven million, four hundred seventy-four thousand, one hundred twenty".