114213643602140 has 96 divisors (see below), whose sum is σ = 247855197585408. Its totient is φ = 44163623520000.

The previous prime is 114213643602133. The next prime is 114213643602143. The reversal of 114213643602140 is 41206346312411.

It is a super-2 number, since 2×114213643602140² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114213643602094 and 114213643602103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114213643602143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5681978090 + ... + 5681998190.

It is an arithmetic number, because the mean of its divisors is an integer number (2581824974848).

Almost surely, 2^{114213643602140} is an apocalyptic number.

114213643602140 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 114213643602140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123927598792704).

114213643602140 is an abundant number, since it is smaller than the sum of its proper divisors (133641553983268).

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

114213643602140 is a wasteful number, since it uses less digits than its factorization.

114213643602140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29659 (or 29657 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

Adding to 114213643602140 its reverse (41206346312411), we get a palindrome (155419989914551).

The spelling of 114213643602140 in words is "one hundred fourteen trillion, two hundred thirteen billion, six hundred forty-three million, six hundred two thousand, one hundred forty".