1398106944 has 336 divisors, whose sum is σ = 4704161280. Its totient is φ = 393154560.

The previous prime is 1398106933. The next prime is 1398106961. The reversal of 1398106944 is 4496018931.

It is a super-2 number, since 2×1398106944² = 3909406053722038272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1398106944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4410274 + ... + 4410590.

It is an arithmetic number, because the mean of its divisors is an integer number (14000480).

It is a vampire number, since it can be written as 14136 ⋅ 98904 (with its own digits).

Almost surely, 2^1398106944 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 1398106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352080640).

1398106944 is an abundant number, since it is smaller than the sum of its proper divisors (3306054336).

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

1398106944 is a wasteful number, since it uses less digits than its factorization.

1398106944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1398106944 is about 37391.2682855236. The cubic root of 1398106944 is about 1118.1844906395.

The spelling of 1398106944 in words is "one billion, three hundred ninety-eight million, one hundred six thousand, nine hundred forty-four".