1398105548928 has 384 divisors, whose sum is σ = 4426662389760. Its totient is φ = 420040857600.

The previous prime is 1398105548923. The next prime is 1398105548951. The reversal of 1398105548928 is 8298455018931.

1398105548928 is a `hidden beast` number, since 1 + 3 + 9 + 81 + 0 + 5 + 548 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1398105548923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1534692793 + ... + 1534693703.

It is an arithmetic number, because the mean of its divisors is an integer number (11527766640).

Almost surely, 2^{1398105548928} is an apocalyptic number.

1398105548928 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 1398105548928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213331194880).

1398105548928 is an abundant number, since it is smaller than the sum of its proper divisors (3028556840832).

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

1398105548928 is a wasteful number, since it uses less digits than its factorization.

1398105548928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 1398105548928 in words is "one trillion, three hundred ninety-eight billion, one hundred five million, five hundred forty-eight thousand, nine hundred twenty-eight".