200118412032 has 576 divisors, whose sum is σ = 708709284864. Its totient is φ = 48530718720.

The previous prime is 200118412027. The next prime is 200118412033. The reversal of 200118412032 is 230214811002.

200118412032 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 200118411993 and 200118412011.

It is not an unprimeable number, because it can be changed into a prime (200118412033) by changing a digit.

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, 137727018 + ... + 137728470.

It is an arithmetic number, because the mean of its divisors is an integer number (1230398064).

Almost surely, 2^200118412032 is an apocalyptic number.

200118412032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200118412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354354642432).

200118412032 is an abundant number, since it is smaller than the sum of its proper divisors (508590872832).

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

200118412032 is a wasteful number, since it uses less digits than its factorization.

200118412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 200118412032 in words is "two hundred billion, one hundred eighteen million, four hundred twelve thousand, thirty-two".