631141040141136 has 240 divisors, whose sum is σ = 2058457621708800. Its totient is φ = 176786608741632.

The previous prime is 631141040140993. The next prime is 631141040141149.

631141040141136 is a `hidden beast` number, since 6 + 3 + 114 + 1 + 0 + 401 + 4 + 1 + 136 = 666.

631141040141136 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 631141040141136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7367905 + ... + 36284543.

It is an arithmetic number, because the mean of its divisors is an integer number (8576906757120).

Almost surely, 2^{631141040141136} 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 631141040141136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029228810854400).

631141040141136 is an abundant number, since it is smaller than the sum of its proper divisors (1427316581567664).

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

631141040141136 is a wasteful number, since it uses less digits than its factorization.

631141040141136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28917086 (or 28917077 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 631141040141136 in words is "six hundred thirty-one trillion, one hundred forty-one billion, forty million, one hundred forty-one thousand, one hundred thirty-six".