1398890414268 has 264 divisors, whose sum is σ = 3816341308080. Its totient is φ = 448129946880.

The previous prime is 1398890414249. The next prime is 1398890414309. The reversal of 1398890414268 is 8624140988931.

1398890414268 is a `hidden beast` number, since 1 + 3 + 9 + 88 + 90 + 41 + 426 + 8 = 666.

It is a super-2 number, since 2×1398890414268² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 2267245096 + ... + 2267245712.

Almost surely, 2^{1398890414268} is an apocalyptic number.

1398890414268 is a gapful number since it is divisible by the number (18) 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 1398890414268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908170654040).

1398890414268 is an abundant number, since it is smaller than the sum of its proper divisors (2417450893812).

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

1398890414268 is an equidigital number, since it uses as much as digits as its factorization.

1398890414268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 1398890414268 in words is "one trillion, three hundred ninety-eight billion, eight hundred ninety million, four hundred fourteen thousand, two hundred sixty-eight".