20346848928 has 288 divisors, whose sum is σ = 68135558400. Its totient is φ = 5638533120.

The previous prime is 20346848903. The next prime is 20346848941. The reversal of 20346848928 is 82984864302.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20346848928² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16447926 + ... + 16449162.

It is an arithmetic number, because the mean of its divisors is an integer number (236581800).

Almost surely, 2^20346848928 is an apocalyptic number.

20346848928 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 20346848928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34067779200).

20346848928 is an abundant number, since it is smaller than the sum of its proper divisors (47788709472).

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

20346848928 is a wasteful number, since it uses less digits than its factorization.

20346848928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 20346848928 in words is "twenty billion, three hundred forty-six million, eight hundred forty-eight thousand, nine hundred twenty-eight".