200116347863040 has 1216 divisors, whose sum is σ = 823291315422720. Its totient is φ = 45736293040128.

The previous prime is 200116347863023. The next prime is 200116347863051. The reversal of 200116347863040 is 40368743611002.

200116347863040 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 1 + 6 + 3 + 4 + 7 + 8 + 630 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20065807494 + ... + 20065817466.

Almost surely, 2^{200116347863040} is an apocalyptic number.

200116347863040 is a gapful number since it is divisible by the number (20) 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 200116347863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411645657711360).

200116347863040 is an abundant number, since it is smaller than the sum of its proper divisors (623174967559680).

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

200116347863040 is an frugal number, since it uses more digits than its factorization.

200116347863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 200116347863040 in words is "two hundred trillion, one hundred sixteen billion, three hundred forty-seven million, eight hundred sixty-three thousand, forty".