78333051168 has 144 divisors (see below), whose sum is σ = 224275982112. Its totient is φ = 25933824000.

The previous prime is 78333051131. The next prime is 78333051187. The reversal of 78333051168 is 86115033387.

78333051168 is a `hidden beast` number, since 78 + 3 + 3 + 3 + 0 + 511 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×78333051168² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38951283 + ... + 38953293.

It is an arithmetic number, because the mean of its divisors is an integer number (1557472098).

Almost surely, 2^78333051168 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 78333051168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112137991056).

78333051168 is an abundant number, since it is smaller than the sum of its proper divisors (145942930944).

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

78333051168 is a wasteful number, since it uses less digits than its factorization.

78333051168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 7833 and 3051168, that added together give a square (3059001 = 1749²).

The spelling of 78333051168 in words is "seventy-eight billion, three hundred thirty-three million, fifty-one thousand, one hundred sixty-eight".