294000006144 has 176 divisors, whose sum is σ = 866707791488. Its totient is φ = 88016191488.

The previous prime is 294000006143. The next prime is 294000006151. The reversal of 294000006144 is 441600000492.

It is a super-2 number, since 2×294000006144² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (294000006143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378149 + ... + 1577115.

It is an arithmetic number, because the mean of its divisors is an integer number (4924476088).

Almost surely, 2^294000006144 is an apocalyptic number.

294000006144 is a gapful number since it is divisible by the number (24) 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 294000006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433353895744).

294000006144 is an abundant number, since it is smaller than the sum of its proper divisors (572707785344).

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

294000006144 is a wasteful number, since it uses less digits than its factorization.

294000006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199040 (or 199022 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 294000006144 in words is "two hundred ninety-four billion, six thousand, one hundred forty-four".