117226435923072 has 288 divisors, whose sum is σ = 392453911699200. Its totient is φ = 33489158814720.

The previous prime is 117226435923041. The next prime is 117226435923173. The reversal of 117226435923072 is 270329534622711.

117226435923072 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 2 + 6 + 43 + 592 + 3 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×117226435923072² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 475789929 + ... + 476036247.

It is an arithmetic number, because the mean of its divisors is an integer number (1362687193400).

Almost surely, 2^{117226435923072} is an apocalyptic number.

117226435923072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117226435923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196226955849600).

117226435923072 is an abundant number, since it is smaller than the sum of its proper divisors (275227475776128).

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

117226435923072 is a wasteful number, since it uses less digits than its factorization.

117226435923072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254784 (or 254762 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 117226435923072 in words is "one hundred seventeen trillion, two hundred twenty-six billion, four hundred thirty-five million, nine hundred twenty-three thousand, seventy-two".