201311617866480 has 240 divisors, whose sum is σ = 737561956120704. Its totient is φ = 48800871544320.

The previous prime is 201311617866439. The next prime is 201311617866481. The reversal of 201311617866480 is 84668716113102.

201311617866480 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 11 + 617 + 8 + 6 + 6 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201311617866481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203422627 + ... + 204409853.

Almost surely, 2^{201311617866480} is an apocalyptic number.

201311617866480 is a gapful number since it is divisible by the number (20) 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 201311617866480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368780978060352).

201311617866480 is an abundant number, since it is smaller than the sum of its proper divisors (536250338254224).

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

201311617866480 is a wasteful number, since it uses less digits than its factorization.

201311617866480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013004 (or 1012995 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 201311617866480 in words is "two hundred one trillion, three hundred eleven billion, six hundred seventeen million, eight hundred sixty-six thousand, four hundred eighty".