123896196864 has 288 divisors, whose sum is σ = 417074112000. Its totient is φ = 35911434240.

The previous prime is 123896196799. The next prime is 123896196871. The reversal of 123896196864 is 468691698321.

123896196864 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 9 + 619 + 6 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1713312 + ... + 1784160.

It is an arithmetic number, because the mean of its divisors is an integer number (1448174000).

Almost surely, 2^123896196864 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 123896196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208537056000).

123896196864 is an abundant number, since it is smaller than the sum of its proper divisors (293177915136).

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

123896196864 is a wasteful number, since it uses less digits than its factorization.

123896196864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70908 (or 70888 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 123896196864 in words is "one hundred twenty-three billion, eight hundred ninety-six million, one hundred ninety-six thousand, eight hundred sixty-four".