88143741944928 has 288 divisors, whose sum is σ = 255687443182080. Its totient is φ = 28796458521600.

The previous prime is 88143741944899. The next prime is 88143741945001. The reversal of 88143741944928 is 82944914734188.

88143741944928 is a `hidden beast` number, since 8 + 8 + 1 + 4 + 3 + 7 + 41 + 94 + 492 + 8 = 666.

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

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 5704719603 + ... + 5704735053.

It is an arithmetic number, because the mean of its divisors is an integer number (887803622160).

Almost surely, 2^{88143741944928} 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 88143741944928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127843721591040).

88143741944928 is an abundant number, since it is smaller than the sum of its proper divisors (167543701237152).

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

88143741944928 is a wasteful number, since it uses less digits than its factorization.

88143741944928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17010 (or 16999 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 88143741944928 in words is "eighty-eight trillion, one hundred forty-three billion, seven hundred forty-one million, nine hundred forty-four thousand, nine hundred twenty-eight".