631909416096 has 288 divisors, whose sum is σ = 2134415162880. Its totient is φ = 180151693056.

The previous prime is 631909416077. The next prime is 631909416107. The reversal of 631909416096 is 690614909136.

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 47 ways as a sum of consecutive naturals, for example, 25407315 + ... + 25432173.

It is an arithmetic number, because the mean of its divisors is an integer number (7411163760).

Almost surely, 2^631909416096 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 631909416096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067207581440).

631909416096 is an abundant number, since it is smaller than the sum of its proper divisors (1502505746784).

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

631909416096 is a wasteful number, since it uses less digits than its factorization.

631909416096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25358 (or 25338 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 631909416096 in words is "six hundred thirty-one billion, nine hundred nine million, four hundred sixteen thousand, ninety-six".