213409249788 has 144 divisors (see below), whose sum is σ = 598589988864. Its totient is φ = 58942961280.

The previous prime is 213409249727. The next prime is 213409249789. The reversal of 213409249788 is 887942904312.

It is a super-4 number, since 4×213409249788⁴ (a number of 46 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213409249789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18167445 + ... + 18179187.

Almost surely, 2^213409249788 is an apocalyptic number.

213409249788 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 213409249788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299294994432).

213409249788 is an abundant number, since it is smaller than the sum of its proper divisors (385180739076).

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

213409249788 is a wasteful number, since it uses less digits than its factorization.

213409249788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12792 (or 12783 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 213409249788 in words is "two hundred thirteen billion, four hundred nine million, two hundred forty-nine thousand, seven hundred eighty-eight".