114001425351025 has 81 divisors (see below), whose sum is σ = 150315518710881. Its totient is φ = 85756095290880.

The previous prime is 114001425350983. The next prime is 114001425351043. The reversal of 114001425351025 is 520153524100411.

The square root of 114001425351025 is 10677145.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11163410286561 + 102838015064464 = 3341169^2 + 10140908^2 .

It is a de Polignac number, because none of the positive numbers 2^k-114001425351025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 169392905089 + ... + 169392905761.

Almost surely, 2^{114001425351025} is an apocalyptic number.

114001425351025 is the 10677145-th square number.

114001425351025 is the 5338573-rd centered octagonal number.

It is an amenable number.

114001425351025 is a deficient number, since it is larger than the sum of its proper divisors (36314093359856).

114001425351025 is an frugal number, since it uses more digits than its factorization.

114001425351025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

Adding to 114001425351025 its reverse (520153524100411), we get a palindrome (634154949451436).

The spelling of 114001425351025 in words is "one hundred fourteen trillion, one billion, four hundred twenty-five million, three hundred fifty-one thousand, twenty-five".