114314551021520 has 20 divisors (see below), whose sum is σ = 265781331125220. Its totient is φ = 45725820408576.

The previous prime is 114314551021507. The next prime is 114314551021529. The reversal of 114314551021520 is 25120155413411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80050526833216 + 34264024188304 = 8947096^2 + 5853548^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×114314551021520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114314551021529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 714465943805 + ... + 714465943964.

It is an arithmetic number, because the mean of its divisors is an integer number (13289066556261).

Almost surely, 2^{114314551021520} is an apocalyptic number.

114314551021520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114314551021520 is an abundant number, since it is smaller than the sum of its proper divisors (151466780103700).

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

114314551021520 is a wasteful number, since it uses less digits than its factorization.

114314551021520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428931887782 (or 1428931887776 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 114314551021520 in words is "one hundred fourteen trillion, three hundred fourteen billion, five hundred fifty-one million, twenty-one thousand, five hundred twenty".