1504198211328 has 756 divisors, whose sum is σ = 4826241924840. Its totient is φ = 467542388736.

The previous prime is 1504198211281. The next prime is 1504198211333. The reversal of 1504198211328 is 8231128914051.

1504198211328 is a `hidden beast` number, since 1 + 504 + 1 + 9 + 8 + 2 + 1 + 132 + 8 = 666.

It is a super-2 number, since 2×1504198211328² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5591814778 + ... + 5591815046.

It is an arithmetic number, because the mean of its divisors is an integer number (6383917890).

Almost surely, 2^{1504198211328} is an apocalyptic number.

1504198211328 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 1504198211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413120962420).

1504198211328 is an abundant number, since it is smaller than the sum of its proper divisors (3322043713512).

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

1504198211328 is an frugal number, since it uses more digits than its factorization.

1504198211328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 1504198211328 in words is "one trillion, five hundred four billion, one hundred ninety-eight million, two hundred eleven thousand, three hundred twenty-eight".