114152601344 has 72 divisors (see below), whose sum is σ = 233273053440. Its totient is φ = 55726128128.

The previous prime is 114152601301. The next prime is 114152601361. The reversal of 114152601344 is 443106251411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 114152601344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5030087 + ... + 5052729.

It is an arithmetic number, because the mean of its divisors is an integer number (3239903520).

Almost surely, 2^114152601344 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 114152601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116636526720).

114152601344 is an abundant number, since it is smaller than the sum of its proper divisors (119120452096).

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

114152601344 is an equidigital number, since it uses as much as digits as its factorization.

114152601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23125 (or 23111 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 114152601344 its reverse (443106251411), we get a palindrome (557258852755).

The spelling of 114152601344 in words is "one hundred fourteen billion, one hundred fifty-two million, six hundred one thousand, three hundred forty-four".