114701343896160 has 1536 divisors, whose sum is σ = 501016803840000. Its totient is φ = 23979858223104.

The previous prime is 114701343896147. The next prime is 114701343896173. The reversal of 114701343896160 is 61698343107411.

It is a happy number.

114701343896160 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 0 + 13 + 4 + 3 + 8 + 9 + 616 + 0 = 666.

114701343896160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114701343896147) and next prime (114701343896173).

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

It is a junction number, because it is equal to n+sod(n) for n = 114701343896097 and 114701343896106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6015059106 + ... + 6015078174.

It is an arithmetic number, because the mean of its divisors is an integer number (326182815000).

Almost surely, 2^{114701343896160} is an apocalyptic number.

114701343896160 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 114701343896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250508401920000).

114701343896160 is an abundant number, since it is smaller than the sum of its proper divisors (386315459943840).

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

114701343896160 is a wasteful number, since it uses less digits than its factorization.

114701343896160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19186 (or 19134 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 114701343896160 in words is "one hundred fourteen trillion, seven hundred one billion, three hundred forty-three million, eight hundred ninety-six thousand, one hundred sixty".