213674496000 has 1248 divisors, whose sum is σ = 881004563712. Its totient is φ = 45691699200.

The previous prime is 213674495977. The next prime is 213674496019. The reversal of 213674496000 is 694476312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1279487917 + ... + 1279488083.

It is an arithmetic number, because the mean of its divisors is an integer number (705933144).

Almost surely, 2^213674496000 is an apocalyptic number.

213674496000 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 213674496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440502281856).

213674496000 is an abundant number, since it is smaller than the sum of its proper divisors (667330067712).

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

213674496000 is a wasteful number, since it uses less digits than its factorization.

213674496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 213674496000 in words is "two hundred thirteen billion, six hundred seventy-four million, four hundred ninety-six thousand".