114551026089984 has 960 divisors, whose sum is σ = 385551330278400. Its totient is φ = 32388415488000.

The previous prime is 114551026089979. The next prime is 114551026090019. The reversal of 114551026089984 is 489980620155411.

114551026089984 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 5 + 10 + 2 + 608 + 9 + 9 + 8 + 4 = 666.

It is a super-3 number, since 3×114551026089984³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115591347729 + ... + 115591348719.

It is an arithmetic number, because the mean of its divisors is an integer number (401615969040).

Almost surely, 2^{114551026089984} 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 114551026089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192775665139200).

114551026089984 is an abundant number, since it is smaller than the sum of its proper divisors (271000304188416).

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

114551026089984 is an equidigital number, since it uses as much as digits as its factorization.

114551026089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 114551026089984 in words is "one hundred fourteen trillion, five hundred fifty-one billion, twenty-six million, eighty-nine thousand, nine hundred eighty-four".