114971718597120 has 960 divisors, whose sum is σ = 497410670465280. Its totient is φ = 23843104358400.

The previous prime is 114971718597107. The next prime is 114971718597133. The reversal of 114971718597120 is 21795817179411.

114971718597120 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 7 + 1 + 7 + 18 + 597 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (114971718597107) and next prime (114971718597133).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 902943060 + ... + 903070380.

It is an arithmetic number, because the mean of its divisors is an integer number (518136115068).

Almost surely, 2^{114971718597120} is an apocalyptic number.

114971718597120 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 114971718597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248705335232640).

114971718597120 is an abundant number, since it is smaller than the sum of its proper divisors (382438951868160).

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

114971718597120 is a wasteful number, since it uses less digits than its factorization.

114971718597120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127877 (or 127858 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 63.

The spelling of 114971718597120 in words is "one hundred fourteen trillion, nine hundred seventy-one billion, seven hundred eighteen million, five hundred ninety-seven thousand, one hundred twenty".