949432213728 has 384 divisors, whose sum is σ = 2976936883200. Its totient is φ = 293504311296.

The previous prime is 949432213727. The next prime is 949432213789. The reversal of 949432213728 is 827312234949.

It is a happy number.

949432213728 is a `hidden beast` number, since 9 + 4 + 9 + 43 + 221 + 372 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949432213727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164173525 + ... + 164179307.

It is an arithmetic number, because the mean of its divisors is an integer number (7752439800).

Almost surely, 2^949432213728 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 949432213728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488468441600).

949432213728 is an abundant number, since it is smaller than the sum of its proper divisors (2027504669472).

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

949432213728 is a wasteful number, since it uses less digits than its factorization.

949432213728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6031 (or 6017 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 949432213728 in words is "nine hundred forty-nine billion, four hundred thirty-two million, two hundred thirteen thousand, seven hundred twenty-eight".