823698130758048 has 2880 divisors, whose sum is σ = 3282698614745088. Its totient is φ = 197052011642880.

The previous prime is 823698130758031. The next prime is 823698130758049. The reversal of 823698130758048 is 840857031896328.

823698130758048 is a `hidden beast` number, since 8 + 2 + 3 + 6 + 9 + 8 + 1 + 30 + 7 + 580 + 4 + 8 = 666.

It is a super-2 number, since 2×823698130758048² (a number of 31 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (823698130758049) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 256045422936 + ... + 256045426152.

It is a 1-persistent number, because it is pandigital, but 2⋅823698130758048 = 1647396261516096 is not.

Almost surely, 2^{823698130758048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823698130758048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641349307372544).

823698130758048 is an abundant number, since it is smaller than the sum of its proper divisors (2459000483987040).

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

823698130758048 is a wasteful number, since it uses less digits than its factorization.

823698130758048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 823698130758048 in words is "eight hundred twenty-three trillion, six hundred ninety-eight billion, one hundred thirty million, seven hundred fifty-eight thousand, forty-eight".