68952249216 has 448 divisors, whose sum is σ = 214922710800. Its totient is φ = 22006702080.

The previous prime is 68952249209. The next prime is 68952249259. The reversal of 68952249216 is 61294225986.

68952249216 is a `hidden beast` number, since 68 + 9 + 522 + 49 + 2 + 16 = 666.

It is a super-2 number, since 2×68952249216² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 256327930 + ... + 256328198.

Almost surely, 2^68952249216 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 68952249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107461355400).

68952249216 is an abundant number, since it is smaller than the sum of its proper divisors (145970461584).

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

68952249216 is an equidigital number, since it uses as much as digits as its factorization.

68952249216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 382 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 68952249216 in words is "sixty-eight billion, nine hundred fifty-two million, two hundred forty-nine thousand, two hundred sixteen".