1358014464 has 192 divisors, whose sum is σ = 4127760000. Its totient is φ = 440893440.

The previous prime is 1358014457. The next prime is 1358014477. The reversal of 1358014464 is 4644108531.

1358014464 is a `hidden beast` number, since 1 + 3 + 580 + 14 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2266837 + ... + 2267435.

It is an arithmetic number, because the mean of its divisors is an integer number (21498750).

Almost surely, 2^1358014464 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 1358014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063880000).

1358014464 is an abundant number, since it is smaller than the sum of its proper divisors (2769745536).

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

1358014464 is an equidigital number, since it uses as much as digits as its factorization.

1358014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1358014464 is about 36851.2477943421. The cubic root of 1358014464 is about 1107.3922127230.

The spelling of 1358014464 in words is "one billion, three hundred fifty-eight million, fourteen thousand, four hundred sixty-four".