268551637140348 has 96 divisors (see below), whose sum is σ = 711662657771520. Its totient is φ = 87545801977920.

The previous prime is 268551637140341. The next prime is 268551637140349. The reversal of 268551637140348 is 843041736155862.

268551637140348 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 516 + 3 + 71 + 4 + 0 + 3 + 48 = 666.

It is a super-2 number, since 2×268551637140348² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268551637140341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73648740 + ... + 77209067.

It is an arithmetic number, because the mean of its divisors is an integer number (7413152685120).

Almost surely, 2^{268551637140348} is an apocalyptic number.

It is an amenable number.

268551637140348 is an abundant number, since it is smaller than the sum of its proper divisors (443111020631172).

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

268551637140348 is a wasteful number, since it uses less digits than its factorization.

268551637140348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150858184 (or 150858176 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 268551637140348 in words is "two hundred sixty-eight trillion, five hundred fifty-one billion, six hundred thirty-seven million, one hundred forty thousand, three hundred forty-eight".