949272403968000 has 6528 divisors, whose sum is σ = 4486710065510400. Its totient is φ = 193396211712000.

The previous prime is 949272403967971. The next prime is 949272403968001. The reversal of 949272403968000 is 869304272949.

949272403968000 is a `hidden beast` number, since 9 + 49 + 27 + 2 + 403 + 96 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×949272403968000² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949272403968001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15561842687970 + ... + 15561842688030.

Almost surely, 2^{949272403968000} is an apocalyptic number.

949272403968000 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 949272403968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243355032755200).

949272403968000 is an abundant number, since it is smaller than the sum of its proper divisors (3537437661542400).

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

949272403968000 is an equidigital number, since it uses as much as digits as its factorization.

949272403968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 949272403968000 in words is "nine hundred forty-nine trillion, two hundred seventy-two billion, four hundred three million, nine hundred sixty-eight thousand".