20853670464 has 189 divisors, whose sum is σ = 65821541331. Its totient is φ = 6307741440.

The previous prime is 20853670441. The next prime is 20853670477. The reversal of 20853670464 is 46407635802.

The square root of 20853670464 is 144408.

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

20853670464 is a `hidden beast` number, since 2 + 0 + 8 + 536 + 70 + 46 + 4 = 666.

It is a super-2 number, since 2×20853670464² (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 26 ways as a sum of consecutive naturals, for example, 38123439 + ... + 38123985.

Almost surely, 2^20853670464 is an apocalyptic number.

20853670464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20853670464 is the 144408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20853670464

20853670464 is an abundant number, since it is smaller than the sum of its proper divisors (44967870867).

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

20853670464 is an equidigital number, since it uses as much as digits as its factorization.

20853670464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 20853670464 in words is "twenty billion, eight hundred fifty-three million, six hundred seventy thousand, four hundred sixty-four".