213634257408000 has 6240 divisors, whose sum is σ = 1002295045395072. Its totient is φ = 44718096384000.

The previous prime is 213634257407981. The next prime is 213634257408007. The reversal of 213634257408000 is 804752436312.

213634257408000 is a `hidden beast` number, since 2 + 1 + 3 + 634 + 2 + 5 + 7 + 4 + 0 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213634257408007) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1310639615919 + ... + 1310639616081.

Almost surely, 2^{213634257408000} is an apocalyptic number.

213634257408000 is a gapful number since it is divisible by the number (20) 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 213634257408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501147522697536).

213634257408000 is an abundant number, since it is smaller than the sum of its proper divisors (788660787987072).

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

213634257408000 is a wasteful number, since it uses less digits than its factorization.

213634257408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 214 counting only the distinct ones).

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

The spelling of 213634257408000 in words is "two hundred thirteen trillion, six hundred thirty-four billion, two hundred fifty-seven million, four hundred eight thousand".