949218746112 has 1152 divisors, whose sum is σ = 3616256573440. Its totient is φ = 241864704000.

The previous prime is 949218746101. The next prime is 949218746131. The reversal of 949218746112 is 211647812949.

949218746112 is a `hidden beast` number, since 9 + 4 + 9 + 2 + 18 + 7 + 4 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1579398612 + ... + 1579399212.

Almost surely, 2^949218746112 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 949218746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808128286720).

949218746112 is an abundant number, since it is smaller than the sum of its proper divisors (2667037827328).

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

949218746112 is an equidigital number, since it uses as much as digits as its factorization.

949218746112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 657 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 949218746112 in words is "nine hundred forty-nine billion, two hundred eighteen million, seven hundred forty-six thousand, one hundred twelve".