823937446116 has 30 divisors (see below), whose sum is σ = 2153935238070. Its totient is φ = 274645815264.

The previous prime is 823937446049. The next prime is 823937446133. The reversal of 823937446116 is 611644739328.

823937446116 is a `hidden beast` number, since 8 + 23 + 93 + 74 + 461 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 484549641216 + 339387804900 = 696096^2 + 582570^2 .

It is a super-2 number, since 2×823937446116² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1271508081 + ... + 1271508728.

It is an arithmetic number, because the mean of its divisors is an integer number (71797841269).

Almost surely, 2^823937446116 is an apocalyptic number.

It is an amenable number.

823937446116 is an abundant number, since it is smaller than the sum of its proper divisors (1329997791954).

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

823937446116 is a wasteful number, since it uses less digits than its factorization.

823937446116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543016825 (or 2543016814 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 823937446116 in words is "eight hundred twenty-three billion, nine hundred thirty-seven million, four hundred forty-six thousand, one hundred sixteen".