78106648054032 has 80 divisors (see below), whose sum is σ = 241440778190080. Its totient is φ = 24032814784128.

The previous prime is 78106648054013. The next prime is 78106648054033. The reversal of 78106648054032 is 23045084660187.

It is a happy number.

78106648054032 is a `hidden beast` number, since 7 + 8 + 1 + 0 + 6 + 64 + 8 + 0 + 540 + 32 = 666.

78106648054032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×78106648054032² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 78106648054032.

It is not an unprimeable number, because it can be changed into a prime (78106648054033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6953933848 + ... + 6953945079.

It is an arithmetic number, because the mean of its divisors is an integer number (3018009727376).

Almost surely, 2^{78106648054032} is an apocalyptic number.

78106648054032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78106648054032 is an abundant number, since it is smaller than the sum of its proper divisors (163334130136048).

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

78106648054032 is a wasteful number, since it uses less digits than its factorization.

78106648054032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13907878957 (or 13907878945 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 78106648054032 in words is "seventy-eight trillion, one hundred six billion, six hundred forty-eight million, fifty-four thousand, thirty-two".