116952642229248 has 2464 divisors, whose sum is σ = 437960540528640. Its totient is φ = 30459903344640.

The previous prime is 116952642229237. The next prime is 116952642229261. The reversal of 116952642229248 is 842922246259611.

116952642229248 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 526 + 42 + 2 + 29 + 2 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 331310601040 + ... + 331310601392.

Almost surely, 2^{116952642229248} is an apocalyptic number.

116952642229248 is a gapful number since it is divisible by the number (18) 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 116952642229248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218980270264320).

116952642229248 is an abundant number, since it is smaller than the sum of its proper divisors (321007898299392).

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

116952642229248 is an equidigital number, since it uses as much as digits as its factorization.

116952642229248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 502 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 116952642229248 in words is "one hundred sixteen trillion, nine hundred fifty-two billion, six hundred forty-two million, two hundred twenty-nine thousand, two hundred forty-eight".