63131584950 has 192 divisors, whose sum is σ = 199462947840. Its totient is φ = 14383008000.

The previous prime is 63131584889. The next prime is 63131584951. The reversal of 63131584950 is 5948513136.

63131584950 is a `hidden beast` number, since 6 + 3 + 1 + 3 + 158 + 495 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 63131584896 and 63131584905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63131584951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2928210 + ... + 2949690.

It is an arithmetic number, because the mean of its divisors is an integer number (1038869520).

Almost surely, 2^63131584950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63131584950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99731473920).

63131584950 is an abundant number, since it is smaller than the sum of its proper divisors (136331362890).

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

63131584950 is a wasteful number, since it uses less digits than its factorization.

63131584950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21820 (or 21809 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 63131584950 in words is "sixty-three billion, one hundred thirty-one million, five hundred eighty-four thousand, nine hundred fifty".