201915741456 has 360 divisors, whose sum is σ = 674266844160. Its totient is φ = 56027220480.

The previous prime is 201915741449. The next prime is 201915741479. The reversal of 201915741456 is 654147519102.

201915741456 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 157 + 41 + 456 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28763515 + ... + 28770533.

It is an arithmetic number, because the mean of its divisors is an integer number (1872963456).

Almost surely, 2^201915741456 is an apocalyptic number.

201915741456 is a gapful number since it is divisible by the number (26) 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 201915741456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337133422080).

201915741456 is an abundant number, since it is smaller than the sum of its proper divisors (472351102704).

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

201915741456 is a wasteful number, since it uses less digits than its factorization.

201915741456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195 (or 7175 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 201915741456 in words is "two hundred one billion, nine hundred fifteen million, seven hundred forty-one thousand, four hundred fifty-six".