200851467264 has 1386 divisors, whose sum is σ = 783035102580. Its totient is φ = 51167821824.

The previous prime is 200851467233. The next prime is 200851467287. The reversal of 200851467264 is 462764158002.

200851467264 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 514 + 6 + 72 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 10571129847 + ... + 10571129865.

Almost surely, 2^200851467264 is an apocalyptic number.

200851467264 is a gapful number since it is divisible by the number (24) 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 200851467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391517551290).

200851467264 is an abundant number, since it is smaller than the sum of its proper divisors (582183635316).

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

200851467264 is an equidigital number, since it uses as much as digits as its factorization.

200851467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 200851467264 in words is "two hundred billion, eight hundred fifty-one million, four hundred sixty-seven thousand, two hundred sixty-four".