463150308096 has 324 divisors, whose sum is σ = 1575303269904. Its totient is φ = 130462617600.

The previous prime is 463150308037. The next prime is 463150308113. The reversal of 463150308096 is 690803051364.

463150308096 is a `hidden beast` number, since 4 + 63 + 1 + 503 + 0 + 80 + 9 + 6 = 666.

463150308096 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7986726 + ... + 8044506.

Almost surely, 2^463150308096 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 463150308096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787651634952).

463150308096 is an abundant number, since it is smaller than the sum of its proper divisors (1112152961808).

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

463150308096 is a wasteful number, since it uses less digits than its factorization.

463150308096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57888 (or 57864 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 463150308096 in words is "four hundred sixty-three billion, one hundred fifty million, three hundred eight thousand, ninety-six".