114300542353220 has 96 divisors (see below), whose sum is σ = 249424944300000. Its totient is φ = 43945358471168.

The previous prime is 114300542353219. The next prime is 114300542353253. The reversal of 114300542353220 is 22353245003411.

It can be written as a sum of positive squares in 16 ways, for example, as 56747927066884 + 57552615286336 = 7533122^2 + 7586344^2 .

It is a super-3 number, since 3×114300542353220³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200825606 + ... + 201393954.

It is an arithmetic number, because the mean of its divisors is an integer number (2598176503125).

Almost surely, 2^{114300542353220} is an apocalyptic number.

114300542353220 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 114300542353220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124712472150000).

114300542353220 is an abundant number, since it is smaller than the sum of its proper divisors (135124401946780).

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

114300542353220 is a wasteful number, since it uses less digits than its factorization.

114300542353220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569945 (or 569943 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 114300542353220 its reverse (22353245003411), we get a palindrome (136653787356631).

The spelling of 114300542353220 in words is "one hundred fourteen trillion, three hundred billion, five hundred forty-two million, three hundred fifty-three thousand, two hundred twenty".