20918109671424 has 1053 divisors, whose sum is σ = 72922252739349. Its totient is φ = 5760580976640.

The previous prime is 20918109671377. The next prime is 20918109671441. The reversal of 20918109671424 is 42417690181902.

The square root of 20918109671424 is 4573632.

It is a perfect power (a square), and thus also a powerful number.

20918109671424 is a `hidden beast` number, since 20 + 91 + 8 + 109 + 6 + 7 + 1 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1007951745024 + 19910157926400 = 1003968^2 + 4462080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 252025417687 + ... + 252025417769.

Almost surely, 2^{20918109671424} is an apocalyptic number.

20918109671424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20918109671424 is the 4573632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20918109671424

20918109671424 is an abundant number, since it is smaller than the sum of its proper divisors (52004143067925).

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

20918109671424 is an frugal number, since it uses more digits than its factorization.

20918109671424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 20918109671424 in words is "twenty trillion, nine hundred eighteen billion, one hundred nine million, six hundred seventy-one thousand, four hundred twenty-four".