948714161472 has 1792 divisors, whose sum is σ = 3829419417600. Its totient is φ = 225740390400.

The previous prime is 948714161467. The next prime is 948714161489. The reversal of 948714161472 is 274161417849.

948714161472 is a `hidden beast` number, since 9 + 4 + 8 + 7 + 1 + 4 + 161 + 472 = 666.

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

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

Its product of digits (2709504) is a multiple of the sum of its prime divisors (196).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8395700488 + ... + 8395700600.

It is an arithmetic number, because the mean of its divisors is an integer number (2136952800).

Almost surely, 2^948714161472 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 948714161472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914709708800).

948714161472 is an abundant number, since it is smaller than the sum of its proper divisors (2880705256128).

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

948714161472 is a wasteful number, since it uses less digits than its factorization.

948714161472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 948714161472 in words is "nine hundred forty-eight billion, seven hundred fourteen million, one hundred sixty-one thousand, four hundred seventy-two".