117487480771584 has 3168 divisors, whose sum is σ = 457619085361152. Its totient is φ = 28677390336000.

The previous prime is 117487480771561. The next prime is 117487480771597. The reversal of 117487480771584 is 485177084784711.

It is a happy number.

117487480771584 is a `hidden beast` number, since 1 + 1 + 74 + 8 + 7 + 480 + 7 + 71 + 5 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 925098273729 + ... + 925098273855.

It is an arithmetic number, because the mean of its divisors is an integer number (144450468864).

Almost surely, 2^{117487480771584} is an apocalyptic number.

117487480771584 is a gapful number since it is divisible by the number (14) 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 117487480771584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228809542680576).

117487480771584 is an abundant number, since it is smaller than the sum of its proper divisors (340131604589568).

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

117487480771584 is a wasteful number, since it uses less digits than its factorization.

117487480771584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 393379840, while the sum is 72.

The spelling of 117487480771584 in words is "one hundred seventeen trillion, four hundred eighty-seven billion, four hundred eighty million, seven hundred seventy-one thousand, five hundred eighty-four".