633966983664144 has 320 divisors, whose sum is σ = 1795403168176128. Its totient is φ = 191581479936000.

The previous prime is 633966983664139. The next prime is 633966983664233. The reversal of 633966983664144 is 441466389669336.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 633966983664144.

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 63 ways as a sum of consecutive naturals, for example, 38743925307 + ... + 38743941669.

Almost surely, 2^{633966983664144} 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 633966983664144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897701584088064).

633966983664144 is an abundant number, since it is smaller than the sum of its proper divisors (1161436184511984).

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

633966983664144 is a wasteful number, since it uses less digits than its factorization.

633966983664144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19166 (or 19160 counting only the distinct ones).

The product of its digits is 8707129344, while the sum is 78.

The spelling of 633966983664144 in words is "six hundred thirty-three trillion, nine hundred sixty-six billion, nine hundred eighty-three million, six hundred sixty-four thousand, one hundred forty-four".