1348788672 has 560 divisors, whose sum is σ = 5192816640. Its totient is φ = 335923200.

The previous prime is 1348788667. The next prime is 1348788689. The reversal of 1348788672 is 2768878431.

It is a happy number.

1348788672 is a `hidden beast` number, since 13 + 487 + 8 + 86 + 72 = 666.

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

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12374154 + ... + 12374262.

Almost surely, 2^1348788672 is an apocalyptic number.

1348788672 is a gapful number since it is divisible by the number (12) 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 1348788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596408320).

1348788672 is an abundant number, since it is smaller than the sum of its proper divisors (3844027968).

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

1348788672 is a wasteful number, since it uses less digits than its factorization.

1348788672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 1348788672 is about 36725.8583562046. The cubic root of 1348788672 is about 1104.8787898960.

The spelling of 1348788672 in words is "one billion, three hundred forty-eight million, seven hundred eighty-eight thousand, six hundred seventy-two".