88200144960444 has 144 divisors (see below), whose sum is σ = 252238511581056. Its totient is φ = 26726062622400.

The previous prime is 88200144960413. The next prime is 88200144960491. The reversal of 88200144960444 is 44406944100288.

88200144960444 is a `hidden beast` number, since 8 + 8 + 20 + 0 + 1 + 4 + 4 + 9 + 604 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 241852599 + ... + 242217009.

It is an arithmetic number, because the mean of its divisors is an integer number (1751656330424).

Almost surely, 2^{88200144960444} 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 88200144960444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126119255790528).

88200144960444 is an abundant number, since it is smaller than the sum of its proper divisors (164038366620612).

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

88200144960444 is a wasteful number, since it uses less digits than its factorization.

88200144960444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387078 (or 387064 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 88200144960444 in words is "eighty-eight trillion, two hundred billion, one hundred forty-four million, nine hundred sixty thousand, four hundred forty-four".