634312227100000 has 288 divisors, whose sum is σ = 1587884988043872. Its totient is φ = 249346252800000.

The previous prime is 634312227099871. The next prime is 634312227100001. The reversal of 634312227100000 is 1722213436.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634312227100001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7033254907 + ... + 7033345093.

It is an arithmetic number, because the mean of its divisors is an integer number (5513489541819).

Almost surely, 2^{634312227100000} 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 634312227100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793942494021936).

634312227100000 is an abundant number, since it is smaller than the sum of its proper divisors (953572760943872).

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

634312227100000 is an equidigital number, since it uses as much as digits as its factorization.

634312227100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91436 (or 91408 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 634312227100000 its reverse (1722213436), we get a palindrome (634313949313436).

The spelling of 634312227100000 in words is "six hundred thirty-four trillion, three hundred twelve billion, two hundred twenty-seven million, one hundred thousand".