1398052656 has 640 divisors, whose sum is σ = 5579642880. Its totient is φ = 323481600.

The previous prime is 1398052633. The next prime is 1398052729. The reversal of 1398052656 is 6562508931.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22918866 + ... + 22918926.

It is an arithmetic number, because the mean of its divisors is an integer number (8718192).

Almost surely, 2^1398052656 is an apocalyptic number.

1398052656 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 1398052656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789821440).

1398052656 is an abundant number, since it is smaller than the sum of its proper divisors (4181590224).

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

1398052656 is a wasteful number, since it uses less digits than its factorization.

1398052656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1398052656 is about 37390.5423335902. The cubic root of 1398052656 is about 1118.1700175489.

The spelling of 1398052656 in words is "one billion, three hundred ninety-eight million, fifty-two thousand, six hundred fifty-six".