31636742144 has 336 divisors, whose sum is σ = 81117082368. Its totient is φ = 12059148288.

The previous prime is 31636742141. The next prime is 31636742173. The reversal of 31636742144 is 44124763613.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31636742141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381165527 + ... + 381165609.

It is an arithmetic number, because the mean of its divisors is an integer number (241419888).

Almost surely, 2^31636742144 is an apocalyptic number.

31636742144 is a gapful number since it is divisible by the number (34) 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 31636742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40558541184).

31636742144 is an abundant number, since it is smaller than the sum of its proper divisors (49480340224).

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

31636742144 is an equidigital number, since it uses as much as digits as its factorization.

31636742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 132 counting only the distinct ones).

The product of its digits is 290304, while the sum is 41.

The spelling of 31636742144 in words is "thirty-one billion, six hundred thirty-six million, seven hundred forty-two thousand, one hundred forty-four".