20148391658304 has 756 divisors, whose sum is σ = 77025312066924. Its totient is φ = 5001261318144.

The previous prime is 20148391658273. The next prime is 20148391658309. The reversal of 20148391658304 is 40385619384102.

It is a happy number.

20148391658304 is a `hidden beast` number, since 2 + 0 + 1 + 48 + 3 + 9 + 16 + 583 + 0 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11202105600 + 20137189552704 = 105840^2 + 4487448^2 .

It is a super-2 number, since 2×20148391658304² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20148391658309) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 80963314 + ... + 81211790.

Almost surely, 2^{20148391658304} is an apocalyptic number.

20148391658304 is a gapful number since it is divisible by the number (24) 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 20148391658304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38512656033462).

20148391658304 is an abundant number, since it is smaller than the sum of its proper divisors (56876920408620).

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

20148391658304 is a wasteful number, since it uses less digits than its factorization.

20148391658304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248552 (or 248519 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 20148391658304 in words is "twenty trillion, one hundred forty-eight billion, three hundred ninety-one million, six hundred fifty-eight thousand, three hundred four".