88294098816 has 1152 divisors, whose sum is σ = 346421376000. Its totient is φ = 22034073600.

The previous prime is 88294098811. The next prime is 88294098853. The reversal of 88294098816 is 61889049288.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88294098811) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 635209275 + ... + 635209413.

It is an arithmetic number, because the mean of its divisors is an integer number (300713000).

Almost surely, 2^88294098816 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 88294098816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173210688000).

88294098816 is an abundant number, since it is smaller than the sum of its proper divisors (258127277184).

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

88294098816 is a wasteful number, since it uses less digits than its factorization.

88294098816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 88294098816 in words is "eighty-eight billion, two hundred ninety-four million, ninety-eight thousand, eight hundred sixteen".