956141399808 has 216 divisors, whose sum is σ = 3214919708000. Its totient is φ = 273183031296.

The previous prime is 956141399779. The next prime is 956141399819. The reversal of 956141399808 is 808993141659.

956141399808 is a `hidden beast` number, since 9 + 5 + 614 + 1 + 3 + 9 + 9 + 8 + 0 + 8 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185328 + ... + 1395216.

Almost surely, 2^956141399808 is an apocalyptic number.

956141399808 is a gapful number since it is divisible by the number (98) 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 956141399808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607459854000).

956141399808 is an abundant number, since it is smaller than the sum of its proper divisors (2258778308192).

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

956141399808 is a wasteful number, since it uses less digits than its factorization.

956141399808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209932 (or 1209901 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 956141399808 in words is "nine hundred fifty-six billion, one hundred forty-one million, three hundred ninety-nine thousand, eight hundred eight".