88880848496896 has 243 divisors, whose sum is σ = 185190176130057. Its totient is φ = 42573822197760.

The previous prime is 88880848496807. The next prime is 88880848496959. The reversal of 88880848496896 is 69869484808888.

The square root of 88880848496896 is 9427664.

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

It can be written as a sum of positive squares in only one way, i.e., 21534797113600 + 67346051383296 = 4640560^2 + 8206464^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 460522530976 + ... + 460522531168.

Almost surely, 2^{88880848496896} is an apocalyptic number.

88880848496896 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

88880848496896 is the 9427664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88880848496896

88880848496896 is an abundant number, since it is smaller than the sum of its proper divisors (96309327633161).

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

88880848496896 is an frugal number, since it uses more digits than its factorization.

88880848496896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 97844723712, while the sum is 94.

The spelling of 88880848496896 in words is "eighty-eight trillion, eight hundred eighty billion, eight hundred forty-eight million, four hundred ninety-six thousand, eight hundred ninety-six".