116524541952 has 1152 divisors, whose sum is σ = 448748052480. Its totient is φ = 29382082560.

The previous prime is 116524541911. The next prime is 116524541993. The reversal of 116524541952 is 259145425611.

116524541952 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 2 + 454 + 195 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (116524541911) and next prime (116524541993).

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

It is a junction number, because it is equal to n+sod(n) for n = 116524541898 and 116524541907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1403910103 + ... + 1403910185.

It is an arithmetic number, because the mean of its divisors is an integer number (389538240).

Almost surely, 2^116524541952 is an apocalyptic number.

116524541952 is a gapful number since it is divisible by the number (12) 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 116524541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224374026240).

116524541952 is an abundant number, since it is smaller than the sum of its proper divisors (332223510528).

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

116524541952 is an equidigital number, since it uses as much as digits as its factorization.

116524541952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 139 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 116524541952 in words is "one hundred sixteen billion, five hundred twenty-four million, five hundred forty-one thousand, nine hundred fifty-two".