88189228191744 has 351 divisors, whose sum is σ = 259441507461513. Its totient is φ = 28863306104832.

The previous prime is 88189228191731. The next prime is 88189228191773. The reversal of 88189228191744 is 44719182298188.

The square root of 88189228191744 is 9390912.

It is a perfect power (a square), and thus also a powerful number.

88189228191744 is a `hidden beast` number, since 88 + 18 + 92 + 281 + 9 + 174 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50770071097344 + 37419157094400 = 7125312^2 + 6117120^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106380250722 + ... + 106380251550.

Almost surely, 2^{88189228191744} is an apocalyptic number.

88189228191744 is the 9390912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88189228191744

88189228191744 is an abundant number, since it is smaller than the sum of its proper divisors (171252279269769).

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

88189228191744 is an frugal number, since it uses more digits than its factorization.

88189228191744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 893 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 72.

The spelling of 88189228191744 in words is "eighty-eight trillion, one hundred eighty-nine billion, two hundred twenty-eight million, one hundred ninety-one thousand, seven hundred forty-four".