948948964110 has 144 divisors (see below), whose sum is σ = 2976386330736. Its totient is φ = 216902593152.

The previous prime is 948948964081. The next prime is 948948964121. The reversal of 948948964110 is 11469849849.

948948964110 is a `hidden beast` number, since 9 + 4 + 89 + 489 + 64 + 1 + 10 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3865767 + ... + 4103906.

It is an arithmetic number, because the mean of its divisors is an integer number (20669349519).

Almost surely, 2^948948964110 is an apocalyptic number.

948948964110 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

948948964110 is an abundant number, since it is smaller than the sum of its proper divisors (2027437366626).

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

948948964110 is a wasteful number, since it uses less digits than its factorization.

948948964110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969709 (or 7969690 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 948948964110 in words is "nine hundred forty-eight billion, nine hundred forty-eight million, nine hundred sixty-four thousand, one hundred ten".