823016838240 has 96 divisors (see below), whose sum is σ = 2880558948960. Its totient is φ = 219471155712.

The previous prime is 823016838227. The next prime is 823016838251. The reversal of 823016838240 is 42838610328.

823016838240 is a `hidden beast` number, since 82 + 30 + 168 + 382 + 4 + 0 = 666.

823016838240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 95252259 + ... + 95260898.

It is an arithmetic number, because the mean of its divisors is an integer number (30005822385).

Almost surely, 2^823016838240 is an apocalyptic number.

823016838240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823016838240 is an abundant number, since it is smaller than the sum of its proper divisors (2057542110720).

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

823016838240 is a wasteful number, since it uses less digits than its factorization.

823016838240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190513181 (or 190513167 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 823016838240 in words is "eight hundred twenty-three billion, sixteen million, eight hundred thirty-eight thousand, two hundred forty".