30463654144464 has 80 divisors (see below), whose sum is σ = 88307732437440. Its totient is φ = 10054011254400.

The previous prime is 30463654144457. The next prime is 30463654144499. The reversal of 30463654144464 is 46444145636403.

30463654144464 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 36 + 5 + 4 + 144 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30463654144464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349053982 + ... + 349141245.

It is an arithmetic number, because the mean of its divisors is an integer number (1103846655468).

Almost surely, 2^{30463654144464} is an apocalyptic number.

It is an amenable number.

30463654144464 is an abundant number, since it is smaller than the sum of its proper divisors (57844078292976).

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

30463654144464 is a wasteful number, since it uses less digits than its factorization.

30463654144464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698195345 (or 698195333 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 54.

The spelling of 30463654144464 in words is "thirty trillion, four hundred sixty-three billion, six hundred fifty-four million, one hundred forty-four thousand, four hundred sixty-four".