949708634112 has 864 divisors, whose sum is σ = 3404450649600. Its totient is φ = 258956476416.

The previous prime is 949708634099. The next prime is 949708634113. The reversal of 949708634112 is 211436807949.

949708634112 is a `hidden beast` number, since 9 + 497 + 0 + 8 + 6 + 34 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (949708634113) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2163345189 + ... + 2163345627.

It is an arithmetic number, because the mean of its divisors is an integer number (3940336400).

Almost surely, 2^949708634112 is an apocalyptic number.

949708634112 is a gapful number since it is divisible by the number (92) 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 949708634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702225324800).

949708634112 is an abundant number, since it is smaller than the sum of its proper divisors (2454742015488).

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

949708634112 is an frugal number, since it uses more digits than its factorization.

949708634112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 949708634112 in words is "nine hundred forty-nine billion, seven hundred eight million, six hundred thirty-four thousand, one hundred twelve".