201249759816 has 384 divisors, whose sum is σ = 669135667200. Its totient is φ = 55452522240.

The previous prime is 201249759797. The next prime is 201249759827. The reversal of 201249759816 is 618957942102.

It is a happy number.

201249759816 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 49 + 7 + 598 + 1 + 6 = 666.

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

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, 157348665 + ... + 157349943.

It is an arithmetic number, because the mean of its divisors is an integer number (1742540800).

Almost surely, 2^201249759816 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 201249759816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334567833600).

201249759816 is an abundant number, since it is smaller than the sum of its proper divisors (467885907384).

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

201249759816 is a wasteful number, since it uses less digits than its factorization.

201249759816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 201249759816 in words is "two hundred one billion, two hundred forty-nine million, seven hundred fifty-nine thousand, eight hundred sixteen".