201140424574848 has 768 divisors, whose sum is σ = 658067186649600. Its totient is φ = 60732227174400.

The previous prime is 201140424574819. The next prime is 201140424574879. The reversal of 201140424574848 is 848475424041102.

201140424574848 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 4 + 0 + 4 + 24 + 574 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 201140424574794 and 201140424574803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77570544240 + ... + 77570546832.

It is an arithmetic number, because the mean of its divisors is an integer number (856858315950).

Almost surely, 2^{201140424574848} 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 201140424574848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329033593324800).

201140424574848 is an abundant number, since it is smaller than the sum of its proper divisors (456926762074752).

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

201140424574848 is an frugal number, since it uses more digits than its factorization.

201140424574848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 201140424574848 in words is "two hundred one trillion, one hundred forty billion, four hundred twenty-four million, five hundred seventy-four thousand, eight hundred forty-eight".