293968944864 has 144 divisors (see below), whose sum is σ = 969659203968. Its totient is φ = 82737490176.

The previous prime is 293968944853. The next prime is 293968944881. The reversal of 293968944864 is 468449869392.

293968944864 is a `hidden beast` number, since 2 + 93 + 96 + 8 + 9 + 448 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 293968944792 and 293968944801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953122 + ... + 1223265.

It is an arithmetic number, because the mean of its divisors is an integer number (6733744472).

Almost surely, 2^293968944864 is an apocalyptic number.

293968944864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

293968944864 is an abundant number, since it is smaller than the sum of its proper divisors (675690259104).

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

293968944864 is a wasteful number, since it uses less digits than its factorization.

293968944864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176477 (or 2176466 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 293968944864 in words is "two hundred ninety-three billion, nine hundred sixty-eight million, nine hundred forty-four thousand, eight hundred sixty-four".