213695401984 has 117 divisors (see below), whose sum is σ = 443471707749. Its totient is φ = 102957219840.

The previous prime is 213695401981. The next prime is 213695401991. The reversal of 213695401984 is 489104596312.

The square root of 213695401984 is 462272.

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

It can be written as a sum of positive squares in only one way, i.e., 43397222400 + 170298179584 = 208320^2 + 412672^2 .

It is a super-2 number, since 2×213695401984² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213695401981) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 917147532 + ... + 917147764.

Almost surely, 2^213695401984 is an apocalyptic number.

213695401984 is the 462272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213695401984

213695401984 is an abundant number, since it is smaller than the sum of its proper divisors (229776305765).

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

213695401984 is an frugal number, since it uses more digits than its factorization.

213695401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 213695401984 in words is "two hundred thirteen billion, six hundred ninety-five million, four hundred one thousand, nine hundred eighty-four".