88468949660784 has 720 divisors, whose sum is σ = 303501537158400. Its totient is φ = 21732428298240.

The previous prime is 88468949660771. The next prime is 88468949660789. The reversal of 88468949660784 is 48706694986488.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 88468949660784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88468949660789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1914102027 + ... + 1914148245.

It is an arithmetic number, because the mean of its divisors is an integer number (421529912720).

Almost surely, 2^{88468949660784} is an apocalyptic number.

88468949660784 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 88468949660784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151750768579200).

88468949660784 is an abundant number, since it is smaller than the sum of its proper divisors (215032587497616).

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

88468949660784 is a wasteful number, since it uses less digits than its factorization.

88468949660784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46394 (or 46354 counting only the distinct ones).

The product of its (nonzero) digits is 32105299968, while the sum is 87.

The spelling of 88468949660784 in words is "eighty-eight trillion, four hundred sixty-eight billion, nine hundred forty-nine million, six hundred sixty thousand, seven hundred eighty-four".