64131117120 has 448 divisors, whose sum is σ = 269807984640. Its totient is φ = 14020909056.

The previous prime is 64131117119. The next prime is 64131117131. The reversal of 64131117120 is 2171113146.

64131117120 is a `hidden beast` number, since 641 + 3 + 1 + 1 + 1 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-4 number, since 4×64131117120⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1367989 + ... + 1414091.

Almost surely, 2^64131117120 is an apocalyptic number.

64131117120 is a gapful number since it is divisible by the number (60) 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 64131117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134903992320).

64131117120 is an abundant number, since it is smaller than the sum of its proper divisors (205676867520).

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

64131117120 is a wasteful number, since it uses less digits than its factorization.

64131117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46159 (or 46143 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 64131117120 in words is "sixty-four billion, one hundred thirty-one million, one hundred seventeen thousand, one hundred twenty".