13629361464 has 24 divisors (see below), whose sum is σ = 36912854160. Its totient is φ = 4543120464.

The previous prime is 13629361453. The next prime is 13629361483. The reversal of 13629361464 is 46416392631.

13629361464 is a `hidden beast` number, since 1 + 3 + 6 + 29 + 3 + 614 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 94648272 + ... + 94648415.

It is an arithmetic number, because the mean of its divisors is an integer number (1538035590).

Almost surely, 2^13629361464 is an apocalyptic number.

It is an amenable number.

13629361464 is an abundant number, since it is smaller than the sum of its proper divisors (23283492696).

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

13629361464 is a wasteful number, since it uses less digits than its factorization.

13629361464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189296699 (or 189296692 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 13629361464 in words is "thirteen billion, six hundred twenty-nine million, three hundred sixty-one thousand, four hundred sixty-four".