88187117441472 has 168 divisors, whose sum is σ = 288908030361600. Its totient is φ = 25194118629888.

The previous prime is 88187117441453. The next prime is 88187117441483. The reversal of 88187117441472 is 27414471178188.

88187117441472 is a `hidden beast` number, since 8 + 8 + 1 + 8 + 7 + 117 + 4 + 41 + 472 = 666.

88187117441472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 45495229 + ... + 47393987.

Almost surely, 2^{88187117441472} 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 88187117441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144454015180800).

88187117441472 is an abundant number, since it is smaller than the sum of its proper divisors (200720912920128).

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

88187117441472 is a wasteful number, since it uses less digits than its factorization.

88187117441472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910303 (or 1910290 counting only the distinct ones).

The product of its digits is 22478848, while the sum is 63.

The spelling of 88187117441472 in words is "eighty-eight trillion, one hundred eighty-seven billion, one hundred seventeen million, four hundred forty-one thousand, four hundred seventy-two".