200414250251145 has 96 divisors (see below), whose sum is σ = 426638779976448. Its totient is φ = 84941657247744.

The previous prime is 200414250251113. The next prime is 200414250251197. The reversal of 200414250251145 is 541152052414002.

200414250251145 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 1 + 4 + 2 + 502 + 5 + 1 + 145 = 666.

It is not a de Polignac number, because 200414250251145 - 2⁵ = 200414250251113 is a prime.

It is a super-2 number, since 2×200414250251145² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278936964 + ... + 279654533.

It is an arithmetic number, because the mean of its divisors is an integer number (4444153958088).

Almost surely, 2^{200414250251145} is an apocalyptic number.

It is an amenable number.

200414250251145 is an abundant number, since it is smaller than the sum of its proper divisors (226224529725303).

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

200414250251145 is a wasteful number, since it uses less digits than its factorization.

200414250251145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558591599 (or 558591596 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 200414250251145 in words is "two hundred trillion, four hundred fourteen billion, two hundred fifty million, two hundred fifty-one thousand, one hundred forty-five".