816234185088 has 1152 divisors, whose sum is σ = 3032228908800. Its totient is φ = 217275125760.

The previous prime is 816234185087. The next prime is 816234185101. The reversal of 816234185088 is 880581432618.

816234185088 is a `hidden beast` number, since 8 + 1 + 623 + 4 + 1 + 8 + 5 + 0 + 8 + 8 = 666.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816234185087) 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, 2056005306 + ... + 2056005702.

It is an arithmetic number, because the mean of its divisors is an integer number (2632143150).

Almost surely, 2^816234185088 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 816234185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516114454400).

816234185088 is an abundant number, since it is smaller than the sum of its proper divisors (2215994723712).

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

816234185088 is a wasteful number, since it uses less digits than its factorization.

816234185088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 816234185088 in words is "eight hundred sixteen billion, two hundred thirty-four million, one hundred eighty-five thousand, eighty-eight".