1398585157632 has 576 divisors, whose sum is σ = 4486049568000. Its totient is φ = 417046855680.

The previous prime is 1398585157621. The next prime is 1398585157661. The reversal of 1398585157632 is 2367515858931.

1398585157632 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 5 + 8 + 51 + 576 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 1398585157632.

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, 1535219257 + ... + 1535220167.

It is an arithmetic number, because the mean of its divisors is an integer number (7788280500).

Almost surely, 2^{1398585157632} is an apocalyptic number.

1398585157632 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 1398585157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243024784000).

1398585157632 is an abundant number, since it is smaller than the sum of its proper divisors (3087464410368).

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

1398585157632 is a wasteful number, since it uses less digits than its factorization.

1398585157632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1121 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 1398585157632 in words is "one trillion, three hundred ninety-eight billion, five hundred eighty-five million, one hundred fifty-seven thousand, six hundred thirty-two".