633161441504 has 96 divisors (see below), whose sum is σ = 1329632962560. Its totient is φ = 296359561728.

The previous prime is 633161441399. The next prime is 633161441537. The reversal of 633161441504 is 405144161336.

It is a super-2 number, since 2×633161441504² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3186809 + ... + 3379655.

It is an arithmetic number, because the mean of its divisors is an integer number (13850343360).

Almost surely, 2^633161441504 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 633161441504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664816481280).

633161441504 is an abundant number, since it is smaller than the sum of its proper divisors (696471521056).

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

633161441504 is a wasteful number, since it uses less digits than its factorization.

633161441504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193000 (or 192992 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 633161441504 in words is "six hundred thirty-three billion, one hundred sixty-one million, four hundred forty-one thousand, five hundred four".