633146145424144 has 160 divisors (see below), whose sum is σ = 1399010700084480. Its totient is φ = 275030134579200.

The previous prime is 633146145423977. The next prime is 633146145424187. The reversal of 633146145424144 is 441424541641336.

It is a junction number, because it is equal to n+sod(n) for n = 633146145424091 and 633146145424100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234628837 + ... + 237311995.

It is an arithmetic number, because the mean of its divisors is an integer number (8743816875528).

Almost surely, 2^{633146145424144} 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 633146145424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699505350042240).

633146145424144 is an abundant number, since it is smaller than the sum of its proper divisors (765864554660336).

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

633146145424144 is a wasteful number, since it uses less digits than its factorization.

633146145424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683889 (or 2683883 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 52.

The spelling of 633146145424144 in words is "six hundred thirty-three trillion, one hundred forty-six billion, one hundred forty-five million, four hundred twenty-four thousand, one hundred forty-four".