1114313712480 has 384 divisors, whose sum is σ = 4157271216000. Its totient is φ = 277791178752.

The previous prime is 1114313712467. The next prime is 1114313712529. The reversal of 1114313712480 is 842173134111.

1114313712480 is a `hidden beast` number, since 1 + 1 + 1 + 43 + 1 + 371 + 248 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10891644 + ... + 10993476.

It is an arithmetic number, because the mean of its divisors is an integer number (10826227125).

Almost surely, 2^{1114313712480} is an apocalyptic number.

1114313712480 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 1114313712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078635608000).

1114313712480 is an abundant number, since it is smaller than the sum of its proper divisors (3042957503520).

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

1114313712480 is a wasteful number, since it uses less digits than its factorization.

1114313712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102023 (or 102009 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 1114313712480 its reverse (842173134111), we get a palindrome (1956486846591).

The spelling of 1114313712480 in words is "one trillion, one hundred fourteen billion, three hundred thirteen million, seven hundred twelve thousand, four hundred eighty".