213831456104448 has 3360 divisors, whose sum is σ = 849749564505600. Its totient is φ = 52521404203008.

The previous prime is 213831456104341. The next prime is 213831456104449. The reversal of 213831456104448 is 844401654138312.

213831456104448 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 3 + 14 + 5 + 610 + 4 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 213831456104394 and 213831456104403.

It is not an unprimeable number, because it can be changed into a prime (213831456104449) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3624261967843 + ... + 3624261967901.

Almost surely, 2^{213831456104448} is an apocalyptic number.

213831456104448 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 213831456104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424874782252800).

213831456104448 is an abundant number, since it is smaller than the sum of its proper divisors (635918108401152).

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

213831456104448 is an frugal number, since it uses more digits than its factorization.

213831456104448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 213831456104448 in words is "two hundred thirteen trillion, eight hundred thirty-one billion, four hundred fifty-six million, one hundred four thousand, four hundred forty-eight".