958150116 has 243 divisors, whose sum is σ = 3143742147. Its totient is φ = 245155680.

The previous prime is 958150097. The next prime is 958150117. The reversal of 958150116 is 611051859.

The square root of 958150116 is 30954.

It is a perfect power (a square), and thus also a powerful number.

958150116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (958150117) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14300715 + ... + 14300781.

Almost surely, 2^958150116 is an apocalyptic number.

958150116 is the 30954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 958150116

958150116 is an abundant number, since it is smaller than the sum of its proper divisors (2185592031).

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

958150116 is a wasteful number, since it uses less digits than its factorization.

958150116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The cubic root of 958150116 is about 985.8507825380.

Multiplying 958150116 by its sum of digits (36), we get a square (34493404176 = 185724²).

958150116 divided by its sum of digits (36) gives a square (26615281 = 5159²).

The spelling of 958150116 in words is "nine hundred fifty-eight million, one hundred fifty thousand, one hundred sixteen".