949429417776 has 160 divisors (see below), whose sum is σ = 2812362854400. Its totient is φ = 270368424960.

The previous prime is 949429417771. The next prime is 949429417799. The reversal of 949429417776 is 677714924949.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 949429417776.

It is not an unprimeable number, because it can be changed into a prime (949429417771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151445170 + ... + 151451438.

It is an arithmetic number, because the mean of its divisors is an integer number (17577267840).

Almost surely, 2^949429417776 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 949429417776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406181427200).

949429417776 is an abundant number, since it is smaller than the sum of its proper divisors (1862933436624).

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

949429417776 is a wasteful number, since it uses less digits than its factorization.

949429417776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7707 (or 7701 counting only the distinct ones).

The product of its digits is 192036096, while the sum is 69.

The spelling of 949429417776 in words is "nine hundred forty-nine billion, four hundred twenty-nine million, four hundred seventeen thousand, seven hundred seventy-six".