114131763915480 has 768 divisors, whose sum is σ = 411222391574400. Its totient is φ = 28144451911680.

The previous prime is 114131763915349. The next prime is 114131763915497. The reversal of 114131763915480 is 84519367131411.

It is a happy number.

114131763915480 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 3 + 1 + 7 + 6 + 3 + 91 + 548 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2760719610 + ... + 2760760950.

Almost surely, 2^{114131763915480} is an apocalyptic number.

114131763915480 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 114131763915480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205611195787200).

114131763915480 is an abundant number, since it is smaller than the sum of its proper divisors (297090627658920).

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

114131763915480 is a wasteful number, since it uses less digits than its factorization.

114131763915480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41569 (or 41540 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 114131763915480 in words is "one hundred fourteen trillion, one hundred thirty-one billion, seven hundred sixty-three million, nine hundred fifteen thousand, four hundred eighty".