949709746944 has 864 divisors, whose sum is σ = 3559024573440. Its totient is φ = 244197752832.

The previous prime is 949709746939. The next prime is 949709746957. The reversal of 949709746944 is 449647907949.

949709746944 is a `hidden beast` number, since 9 + 4 + 9 + 70 + 97 + 469 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 321606972 + ... + 321609924.

Almost surely, 2^949709746944 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 949709746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779512286720).

949709746944 is an abundant number, since it is smaller than the sum of its proper divisors (2609314826496).

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

949709746944 is a wasteful number, since it uses less digits than its factorization.

949709746944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 949709746944 in words is "nine hundred forty-nine billion, seven hundred nine million, seven hundred forty-six thousand, nine hundred forty-four".