958970161152 has 288 divisors, whose sum is σ = 2885476688640. Its totient is φ = 318186455040.

The previous prime is 958970161141. The next prime is 958970161181. The reversal of 958970161152 is 251161079859.

It is a happy number.

958970161152 is a `hidden beast` number, since 9 + 589 + 7 + 0 + 1 + 6 + 1 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 110974752 + ... + 110983392.

It is an arithmetic number, because the mean of its divisors is an integer number (10019016280).

Almost surely, 2^958970161152 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 958970161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442738344320).

958970161152 is an abundant number, since it is smaller than the sum of its proper divisors (1926506527488).

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

958970161152 is an equidigital number, since it uses as much as digits as its factorization.

958970161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8901 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 958970161152 in words is "nine hundred fifty-eight billion, nine hundred seventy million, one hundred sixty-one thousand, one hundred fifty-two".