20348162300928 has 2816 divisors, whose sum is σ = 79280725819392. Its totient is φ = 4476764160000.

The previous prime is 20348162300831. The next prime is 20348162300929. The reversal of 20348162300928 is 82900326184302.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×20348162300928² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20348162300929) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 134756041653 + ... + 134756041803.

Almost surely, 2^{20348162300928} is an apocalyptic number.

20348162300928 is a gapful number since it is divisible by the number (28) 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 20348162300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39640362909696).

20348162300928 is an abundant number, since it is smaller than the sum of its proper divisors (58932563518464).

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

20348162300928 is a wasteful number, since it uses less digits than its factorization.

20348162300928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 20348162300928 in words is "twenty trillion, three hundred forty-eight billion, one hundred sixty-two million, three hundred thousand, nine hundred twenty-eight".