958904951616 has 504 divisors, whose sum is σ = 3022333279680. Its totient is φ = 301000624128.

The previous prime is 958904951593. The next prime is 958904951639. The reversal of 958904951616 is 616159409859.

958904951616 is a `hidden beast` number, since 9 + 5 + 8 + 9 + 0 + 4 + 9 + 5 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (958904951593) and next prime (958904951639).

It is a super-2 number, since 2×958904951616² (a number of 25 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 2098260060 + ... + 2098260516.

Almost surely, 2^958904951616 is an apocalyptic number.

958904951616 is a gapful number since it is divisible by the number (96) 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 958904951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511166639840).

958904951616 is an abundant number, since it is smaller than the sum of its proper divisors (2063428328064).

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

958904951616 is an equidigital number, since it uses as much as digits as its factorization.

958904951616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 958904951616 in words is "nine hundred fifty-eight billion, nine hundred four million, nine hundred fifty-one thousand, six hundred sixteen".