114254545332100 has 72 divisors (see below), whose sum is σ = 251361413980488. Its totient is φ = 45073256448000.

The previous prime is 114254545332097. The next prime is 114254545332121. The reversal of 114254545332100 is 1233545452411.

It can be written as a sum of positive squares in 12 ways, for example, as 22519219775364 + 91735325556736 = 4745442^2 + 9577856^2 .

It is a super-2 number, since 2×114254545332100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19412727 + ... + 24604126.

It is an arithmetic number, because the mean of its divisors is an integer number (3491130749729).

Almost surely, 2^{114254545332100} is an apocalyptic number.

114254545332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114254545332100 is an abundant number, since it is smaller than the sum of its proper divisors (137106868648388).

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

114254545332100 is a wasteful number, since it uses less digits than its factorization.

114254545332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44017225 (or 44017218 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 114254545332100 in words is "one hundred fourteen trillion, two hundred fifty-four billion, five hundred forty-five million, three hundred thirty-two thousand, one hundred".