20171301961248 has 192 divisors, whose sum is σ = 58916430397440. Its totient is φ = 6714235756800.

The previous prime is 20171301961219. The next prime is 20171301961297. The reversal of 20171301961248 is 84216910317102.

20171301961248 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 13 + 0 + 19 + 612 + 4 + 8 = 666.

It is a super-2 number, since 2×20171301961248² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2060183233 + ... + 2060193023.

It is an arithmetic number, because the mean of its divisors is an integer number (306856408320).

Almost surely, 2^{20171301961248} 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 20171301961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29458215198720).

20171301961248 is an abundant number, since it is smaller than the sum of its proper divisors (38745128436192).

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

20171301961248 is a wasteful number, since it uses less digits than its factorization.

20171301961248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12948 (or 12934 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 20171301961248 in words is "twenty trillion, one hundred seventy-one billion, three hundred one million, nine hundred sixty-one thousand, two hundred forty-eight".