949255200000 has 1296 divisors, whose sum is σ = 3748903179840. Its totient is φ = 238878720000.

The previous prime is 949255199989. The next prime is 949255200013. The reversal of 949255200000 is 2552949.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3693599872 + ... + 3693600128.

Almost surely, 2^949255200000 is an apocalyptic number.

949255200000 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 949255200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874451589920).

949255200000 is an abundant number, since it is smaller than the sum of its proper divisors (2799647979840).

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

949255200000 is an frugal number, since it uses more digits than its factorization.

949255200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 949255200000 its reverse (2552949), we get a palindrome (949257752949).

It can be divided in two parts, 94925 and 5200000, that added together give a palindrome (5294925).

The spelling of 949255200000 in words is "nine hundred forty-nine billion, two hundred fifty-five million, two hundred thousand".