1348563216 has 480 divisors, whose sum is σ = 5019107328. Its totient is φ = 301916160.

The previous prime is 1348563187. The next prime is 1348563239. The reversal of 1348563216 is 6123658431.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (103680) is a multiple of the sum of its prime divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10618545 + ... + 10618671.

Almost surely, 2^1348563216 is an apocalyptic number.

1348563216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348563216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509553664).

1348563216 is an abundant number, since it is smaller than the sum of its proper divisors (3670544112).

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

1348563216 is a wasteful number, since it uses less digits than its factorization.

1348563216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 1348563216 is about 36722.7887829887. The cubic root of 1348563216 is about 1104.8172246712.

The spelling of 1348563216 in words is "one billion, three hundred forty-eight million, five hundred sixty-three thousand, two hundred sixteen".