1398357312 has 168 divisors, whose sum is σ = 4245181248. Its totient is φ = 405166080.

The previous prime is 1398357281. The next prime is 1398357319. The reversal of 1398357312 is 2137538931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398357319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533028 + ... + 535644.

It is an arithmetic number, because the mean of its divisors is an integer number (25268936).

Almost surely, 2^1398357312 is an apocalyptic number.

1398357312 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 1398357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122590624).

1398357312 is an abundant number, since it is smaller than the sum of its proper divisors (2846823936).

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

1398357312 is a wasteful number, since it uses less digits than its factorization.

1398357312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2656 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 1398357312 is about 37394.6160830674. The cubic root of 1398357312 is about 1118.2512334845.

It can be divided in two parts, 13 and 98357312, that added together give a triangular number (98357325 = T₁₄₀₂₅).

The spelling of 1398357312 in words is "one billion, three hundred ninety-eight million, three hundred fifty-seven thousand, three hundred twelve".