20200148914176 has 2184 divisors, whose sum is σ = 78111066622400. Its totient is φ = 5214603018240.

The previous prime is 20200148914079. The next prime is 20200148914177. The reversal of 20200148914176 is 67141984100202.

20200148914176 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 0 + 148 + 91 + 417 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20200148914177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 123927293871 + ... + 123927294033.

Almost surely, 2^{20200148914176} 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 20200148914176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39055533311200).

20200148914176 is an abundant number, since it is smaller than the sum of its proper divisors (57910917708224).

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

20200148914176 is an frugal number, since it uses more digits than its factorization.

20200148914176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 20200148914176 in words is "twenty trillion, two hundred billion, one hundred forty-eight million, nine hundred fourteen thousand, one hundred seventy-six".