201914496 has 240 divisors, whose sum is σ = 687113310. Its totient is φ = 56899584.

The previous prime is 201914467. The next prime is 201914497. The reversal of 201914496 is 694419102.

It is a happy number.

201914496 is a `hidden beast` number, since 20 + 191 + 449 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 167340096 + 34574400 = 12936^2 + 5880^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 201914496.

It is not an unprimeable number, because it can be changed into a prime (201914497) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2765916 + ... + 2765988.

Almost surely, 2^201914496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343556655).

201914496 is an abundant number, since it is smaller than the sum of its proper divisors (485198814).

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

201914496 is an frugal number, since it uses more digits than its factorization.

201914496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 201914496 is about 14209.6620649472. The cubic root of 201914496 is about 586.6636317566.

The spelling of 201914496 in words is "two hundred one million, nine hundred fourteen thousand, four hundred ninety-six".