823002234102 has 192 divisors, whose sum is σ = 2005283589120. Its totient is φ = 249968073600.

The previous prime is 823002234101. The next prime is 823002234137. The reversal of 823002234102 is 201432200328.

823002234102 is a `hidden beast` number, since 8 + 23 + 0 + 0 + 223 + 410 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823002234101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56739783 + ... + 56754285.

It is an arithmetic number, because the mean of its divisors is an integer number (10444185360).

Almost surely, 2^823002234102 is an apocalyptic number.

823002234102 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 823002234102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002641794560).

823002234102 is an abundant number, since it is smaller than the sum of its proper divisors (1182281355018).

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

823002234102 is a wasteful number, since it uses less digits than its factorization.

823002234102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14664 (or 14639 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 823002234102 in words is "eight hundred twenty-three billion, two million, two hundred thirty-four thousand, one hundred two".