20346502106304 has 336 divisors, whose sum is σ = 64532306535840. Its totient is φ = 6077859840000.

The previous prime is 20346502106299. The next prime is 20346502106311. The reversal of 20346502106304 is 40360120564302.

20346502106304 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 6 + 5 + 0 + 2 + 10 + 630 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 146475924 + ... + 146614764.

Almost surely, 2^{20346502106304} is an apocalyptic number.

20346502106304 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 20346502106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32266153267920).

20346502106304 is an abundant number, since it is smaller than the sum of its proper divisors (44185804429536).

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

20346502106304 is a wasteful number, since it uses less digits than its factorization.

20346502106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139200 (or 139187 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 20346502106304 in words is "twenty trillion, three hundred forty-six billion, five hundred two million, one hundred six thousand, three hundred four".