201159687456 has 864 divisors, whose sum is σ = 746904412800. Its totient is φ = 51026734080.

The previous prime is 201159687439. The next prime is 201159687473. The reversal of 201159687456 is 654786951102.

It is a happy number.

201159687456 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 596 + 8 + 7 + 45 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (201159687439) and next prime (201159687473).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1234108431 + ... + 1234108593.

It is an arithmetic number, because the mean of its divisors is an integer number (864472700).

Almost surely, 2^201159687456 is an apocalyptic number.

201159687456 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 201159687456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373452206400).

201159687456 is an abundant number, since it is smaller than the sum of its proper divisors (545744725344).

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

201159687456 is a wasteful number, since it uses less digits than its factorization.

201159687456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 201159687456 in words is "two hundred one billion, one hundred fifty-nine million, six hundred eighty-seven thousand, four hundred fifty-six".