78145051968 has 504 divisors, whose sum is σ = 253625299200. Its totient is φ = 23828152320.

The previous prime is 78145051909. The next prime is 78145051991. The reversal of 78145051968 is 86915054187.

It is a happy number.

78145051968 is a `hidden beast` number, since 7 + 8 + 14 + 50 + 519 + 68 = 666.

It is a super-2 number, since 2×78145051968² (a number of 23 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 71 ways as a sum of consecutive naturals, for example, 174042208 + ... + 174042656.

It is an arithmetic number, because the mean of its divisors is an integer number (503224800).

Almost surely, 2^78145051968 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 78145051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126812649600).

78145051968 is an abundant number, since it is smaller than the sum of its proper divisors (175480247232).

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

78145051968 is a wasteful number, since it uses less digits than its factorization.

78145051968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 78145051968 in words is "seventy-eight billion, one hundred forty-five million, fifty-one thousand, nine hundred sixty-eight".