88271441664 has 576 divisors, whose sum is σ = 293865062400. Its totient is φ = 22969368576.

The previous prime is 88271441653. The next prime is 88271441689. The reversal of 88271441664 is 46614417288.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369336457 + ... + 369336695.

It is an arithmetic number, because the mean of its divisors is an integer number (510182400).

Almost surely, 2^88271441664 is an apocalyptic number.

88271441664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88271441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146932531200).

88271441664 is an abundant number, since it is smaller than the sum of its proper divisors (205593620736).

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

88271441664 is a wasteful number, since it uses less digits than its factorization.

88271441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

It can be divided in two parts, 88271 and 441664, that added together give a triangular number (529935 = T₁₀₂₉).

The spelling of 88271441664 in words is "eighty-eight billion, two hundred seventy-one million, four hundred forty-one thousand, six hundred sixty-four".