201749969480976 has 640 divisors, whose sum is σ = 690381812736000. Its totient is φ = 55190832592896.

The previous prime is 201749969480971. The next prime is 201749969481023. The reversal of 201749969480976 is 679084969947102.

201749969480976 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 4 + 9 + 9 + 69 + 480 + 9 + 76 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 201749969480895 and 201749969480904.

It is not an unprimeable number, because it can be changed into a prime (201749969480971) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5303747365 + ... + 5303785403.

It is an arithmetic number, because the mean of its divisors is an integer number (1078721582400).

Almost surely, 2^{201749969480976} 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 201749969480976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345190906368000).

201749969480976 is an abundant number, since it is smaller than the sum of its proper divisors (488631843255024).

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

201749969480976 is a wasteful number, since it uses less digits than its factorization.

201749969480976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38596 (or 38584 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 81.

The spelling of 201749969480976 in words is "two hundred one trillion, seven hundred forty-nine billion, nine hundred sixty-nine million, four hundred eighty thousand, nine hundred seventy-six".