88537149702144 has 768 divisors, whose sum is σ = 309888989740800. Its totient is φ = 24765176217600.

The previous prime is 88537149702109. The next prime is 88537149702149. The reversal of 88537149702144 is 44120794173588.

88537149702144 is a `hidden beast` number, since 8 + 8 + 5 + 371 + 49 + 7 + 0 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88537149702149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1644697309 + ... + 1644751139.

It is an arithmetic number, because the mean of its divisors is an integer number (403501288725).

Almost surely, 2^{88537149702144} 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 88537149702144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154944494870400).

88537149702144 is an abundant number, since it is smaller than the sum of its proper divisors (221351840038656).

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

88537149702144 is a wasteful number, since it uses less digits than its factorization.

88537149702144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53907 (or 53860 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 88537149702144 in words is "eighty-eight trillion, five hundred thirty-seven billion, one hundred forty-nine million, seven hundred two thousand, one hundred forty-four".