1349078016 has 352 divisors, whose sum is σ = 4390864128. Its totient is φ = 362741760.

The previous prime is 1349078009. The next prime is 1349078021. The reversal of 1349078016 is 6108709431.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×1349078016² = 3640022986508992512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16253911 + ... + 16253993.

Almost surely, 2^1349078016 is an apocalyptic number.

1349078016 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 1349078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195432064).

1349078016 is an abundant number, since it is smaller than the sum of its proper divisors (3041786112).

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

1349078016 is a wasteful number, since it uses less digits than its factorization.

1349078016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1349078016 is about 36729.7973857739. The cubic root of 1349078016 is about 1104.9577909527.

The spelling of 1349078016 in words is "one billion, three hundred forty-nine million, seventy-eight thousand, sixteen".