116802862176 has 768 divisors, whose sum is σ = 439915069440. Its totient is φ = 26142842880.

The previous prime is 116802862171. The next prime is 116802862193. The reversal of 116802862176 is 671268208611.

It is a super-2 number, since 2×116802862176² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116802862171) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95038330 + ... + 95039558.

It is an arithmetic number, because the mean of its divisors is an integer number (572806080).

Almost surely, 2^116802862176 is an apocalyptic number.

116802862176 is a gapful number since it is divisible by the number (16) 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 116802862176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219957534720).

116802862176 is an abundant number, since it is smaller than the sum of its proper divisors (323112207264).

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

116802862176 is a wasteful number, since it uses less digits than its factorization.

116802862176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 116802862176 in words is "one hundred sixteen billion, eight hundred two million, eight hundred sixty-two thousand, one hundred seventy-six".