949712904000 has 1344 divisors, whose sum is σ = 4122518999040. Its totient is φ = 213373440000.

The previous prime is 949712903969. The next prime is 949712904011. The reversal of 949712904000 is 409217949.

It is a happy number.

949712904000 is a `hidden beast` number, since 94 + 9 + 71 + 2 + 90 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×949712904000² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 645623265 + ... + 645624735.

Almost surely, 2^949712904000 is an apocalyptic number.

949712904000 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 949712904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061259499520).

949712904000 is an abundant number, since it is smaller than the sum of its proper divisors (3172806095040).

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

949712904000 is a wasteful number, since it uses less digits than its factorization.

949712904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 949712904000 in words is "nine hundred forty-nine billion, seven hundred twelve million, nine hundred four thousand".