268449541332 has 384 divisors, whose sum is σ = 784465920000. Its totient is φ = 71213385600.

The previous prime is 268449541307. The next prime is 268449541357. The reversal of 268449541332 is 233145944862.

It is an interprime number because it is at equal distance from previous prime (268449541307) and next prime (268449541357).

It is a super-2 number, since 2×268449541332² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1499718019 + ... + 1499718197.

It is an arithmetic number, because the mean of its divisors is an integer number (2042880000).

Almost surely, 2^268449541332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268449541332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392232960000).

268449541332 is an abundant number, since it is smaller than the sum of its proper divisors (516016378668).

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

268449541332 is a wasteful number, since it uses less digits than its factorization.

268449541332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 51.

The spelling of 268449541332 in words is "two hundred sixty-eight billion, four hundred forty-nine million, five hundred forty-one thousand, three hundred thirty-two".