114162503262528 has 224 divisors, whose sum is σ = 365913167413248. Its totient is φ = 30665456640000.

The previous prime is 114162503262527. The next prime is 114162503262601. The reversal of 114162503262528 is 825262305261411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×114162503262528⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114162503262527) 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, 18072153 + ... + 23556903.

It is an arithmetic number, because the mean of its divisors is an integer number (1633540925952).

Almost surely, 2^{114162503262528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114162503262528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182956583706624).

114162503262528 is an abundant number, since it is smaller than the sum of its proper divisors (251750664150720).

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

114162503262528 is a wasteful number, since it uses less digits than its factorization.

114162503262528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485701 (or 5485691 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 114162503262528 in words is "one hundred fourteen trillion, one hundred sixty-two billion, five hundred three million, two hundred sixty-two thousand, five hundred twenty-eight".