463005351564 has 96 divisors (see below), whose sum is σ = 1249178112000. Its totient is φ = 130739151168.

The previous prime is 463005351503. The next prime is 463005351617. The reversal of 463005351564 is 465153500364.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4263727 + ... + 4370969.

It is an arithmetic number, because the mean of its divisors is an integer number (13012272000).

Almost surely, 2^463005351564 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 463005351564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624589056000).

463005351564 is an abundant number, since it is smaller than the sum of its proper divisors (786172760436).

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

463005351564 is a wasteful number, since it uses less digits than its factorization.

463005351564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107859 (or 107857 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 463005351564 in words is "four hundred sixty-three billion, five million, three hundred fifty-one thousand, five hundred sixty-four".