78148660656375 has 128 divisors (see below), whose sum is σ = 150779852421120. Its totient is φ = 39864613219200.

The previous prime is 78148660656359. The next prime is 78148660656379. The reversal of 78148660656375 is 57365606684187.

It is a happy number.

78148660656375 is a `hidden beast` number, since 7 + 8 + 1 + 4 + 8 + 6 + 606 + 5 + 6 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 78148660656375 - 2⁴ = 78148660656359 is a prime.

It is a super-2 number, since 2×78148660656375² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78148660656379) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2194984324 + ... + 2195019926.

It is an arithmetic number, because the mean of its divisors is an integer number (1177967597040).

Almost surely, 2^{78148660656375} is an apocalyptic number.

78148660656375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

78148660656375 is a deficient number, since it is larger than the sum of its proper divisors (72631191764745).

78148660656375 is a wasteful number, since it uses less digits than its factorization.

78148660656375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63927 (or 63911 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 78148660656375 in words is "seventy-eight trillion, one hundred forty-eight billion, six hundred sixty million, six hundred fifty-six thousand, three hundred seventy-five".