948109639680 has 1122 divisors, whose sum is σ = 3970398275586. Its totient is φ = 216710774784.

The previous prime is 948109639667. The next prime is 948109639691. The reversal of 948109639680 is 86936901849.

It is a happy number.

948109639680 is a `hidden beast` number, since 9 + 4 + 81 + 0 + 96 + 396 + 80 = 666.

It can be written as a sum of positive squares in only one way, i.e., 758487711744 + 189621927936 = 870912^2 + 435456^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 135444234237 + ... + 135444234243.

Almost surely, 2^948109639680 is an apocalyptic number.

948109639680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948109639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985199137793).

948109639680 is an abundant number, since it is smaller than the sum of its proper divisors (3022288635906).

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

948109639680 is an frugal number, since it uses more digits than its factorization.

948109639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 948109639680 in words is "nine hundred forty-eight billion, one hundred nine million, six hundred thirty-nine thousand, six hundred eighty".