949800816000 has 1280 divisors, whose sum is σ = 3726249246720. Its totient is φ = 239417856000.

The previous prime is 949800815993. The next prime is 949800816067. The reversal of 949800816000 is 618008949.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1888271749 + ... + 1888272251.

It is an arithmetic number, because the mean of its divisors is an integer number (2911132224).

Almost surely, 2^949800816000 is an apocalyptic number.

949800816000 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 949800816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863124623360).

949800816000 is an abundant number, since it is smaller than the sum of its proper divisors (2776448430720).

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

949800816000 is a wasteful number, since it uses less digits than its factorization.

949800816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 949800816000 in words is "nine hundred forty-nine billion, eight hundred million, eight hundred sixteen thousand".