463233779712 has 960 divisors, whose sum is σ = 1643933491200. Its totient is φ = 128397312000.

The previous prime is 463233779699. The next prime is 463233779717. The reversal of 463233779712 is 217977332364.

463233779712 is a `hidden beast` number, since 463 + 23 + 3 + 77 + 97 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (463233779717) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1074788137 + ... + 1074788567.

It is an arithmetic number, because the mean of its divisors is an integer number (1712430720).

Almost surely, 2^463233779712 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 463233779712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821966745600).

463233779712 is an abundant number, since it is smaller than the sum of its proper divisors (1180699711488).

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

463233779712 is a wasteful number, since it uses less digits than its factorization.

463233779712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 497 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The spelling of 463233779712 in words is "four hundred sixty-three billion, two hundred thirty-three million, seven hundred seventy-nine thousand, seven hundred twelve".