201946421923200 has 1152 divisors, whose sum is σ = 794958102282240. Its totient is φ = 48590807040000.

The previous prime is 201946421923159. The next prime is 201946421923237. The reversal of 201946421923200 is 2329124649102.

201946421923200 is a `hidden beast` number, since 2 + 0 + 19 + 4 + 6 + 421 + 9 + 2 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×201946421923200² (a number of 29 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1623941025 + ... + 1624065375.

It is an arithmetic number, because the mean of its divisors is an integer number (690067797120).

Almost surely, 2^{201946421923200} is an apocalyptic number.

201946421923200 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 201946421923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397479051141120).

201946421923200 is an abundant number, since it is smaller than the sum of its proper divisors (593011680359040).

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

201946421923200 is a wasteful number, since it uses less digits than its factorization.

201946421923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124536 (or 124516 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 201946421923200 in words is "two hundred one trillion, nine hundred forty-six billion, four hundred twenty-one million, nine hundred twenty-three thousand, two hundred".