200414250251352 has 72 divisors (see below), whose sum is σ = 549746308778940. Its totient is φ = 65959120188000.

The previous prime is 200414250251321. The next prime is 200414250251359. The reversal of 200414250251352 is 253152052414002.

200414250251352 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 1 + 4 + 2 + 50 + 251 + 352 = 666.

200414250251352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200414250251359) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 222554274 + ... + 223452977.

Almost surely, 2^{200414250251352} is an apocalyptic number.

It is an amenable number.

200414250251352 is an abundant number, since it is smaller than the sum of its proper divisors (349332058527588).

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

200414250251352 is a wasteful number, since it uses less digits than its factorization.

200414250251352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446007421 (or 446007335 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 200414250251352 in words is "two hundred trillion, four hundred fourteen billion, two hundred fifty million, two hundred fifty-one thousand, three hundred fifty-two".