200204497513152 has 224 divisors, whose sum is σ = 642774831897600. Its totient is φ = 60601429324800.

The previous prime is 200204497513147. The next prime is 200204497513157. The reversal of 200204497513152 is 251315794402002.

200204497513152 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 4 + 497 + 5 + 1 + 3 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (200204497513147) and next prime (200204497513157).

It is a junction number, because it is equal to n+sod(n) for n = 200204497513098 and 200204497513107.

It is not an unprimeable number, because it can be changed into a prime (200204497513157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11535474 + ... + 23097102.

Almost surely, 2^{200204497513152} is an apocalyptic number.

200204497513152 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 200204497513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321387415948800).

200204497513152 is an abundant number, since it is smaller than the sum of its proper divisors (442570334384448).

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

200204497513152 is a wasteful number, since it uses less digits than its factorization.

200204497513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11562572 (or 11562556 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 200204497513152 in words is "two hundred trillion, two hundred four billion, four hundred ninety-seven million, five hundred thirteen thousand, one hundred fifty-two".