948472799966496 has 144 divisors (see below), whose sum is σ = 3263862282355584. Its totient is φ = 255051509225472.

The previous prime is 948472799966401. The next prime is 948472799966507. The reversal of 948472799966496 is 694669997274849.

948472799966496 is a `hidden beast` number, since 9 + 4 + 8 + 47 + 2 + 7 + 9 + 9 + 9 + 66 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 948472799966397 and 948472799966406.

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, 13837395700 + ... + 13837464243.

It is an arithmetic number, because the mean of its divisors is an integer number (22665710294136).

Almost surely, 2^{948472799966496} is an apocalyptic number.

948472799966496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

948472799966496 is an abundant number, since it is smaller than the sum of its proper divisors (2315389482389088).

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

948472799966496 is a wasteful number, since it uses less digits than its factorization.

948472799966496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27674859983 (or 27674859972 counting only the distinct ones).

The product of its digits is 639974006784, while the sum is 99.

The spelling of 948472799966496 in words is "nine hundred forty-eight trillion, four hundred seventy-two billion, seven hundred ninety-nine million, nine hundred sixty-six thousand, four hundred ninety-six".