200644042634046 has 256 divisors, whose sum is σ = 505274808729600. Its totient is φ = 58468134614400.

The previous prime is 200644042634017. The next prime is 200644042634083. The reversal of 200644042634046 is 640436240446002.

200644042634046 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 4 + 4 + 0 + 4 + 2 + 634 + 0 + 4 + 6 = 666.

It is a super-3 number, since 3×200644042634046³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200644042633992 and 200644042634010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11110464565 + ... + 11110482623.

It is an arithmetic number, because the mean of its divisors is an integer number (1973729721600).

Almost surely, 2^{200644042634046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200644042634046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252637404364800).

200644042634046 is an abundant number, since it is smaller than the sum of its proper divisors (304630766095554).

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

200644042634046 is a wasteful number, since it uses less digits than its factorization.

200644042634046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21892 (or 21886 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 200644042634046 in words is "two hundred trillion, six hundred forty-four billion, forty-two million, six hundred thirty-four thousand, forty-six".