13357548420804 has 243 divisors, whose sum is σ = 39584600038893. Its totient is φ = 3786838542144.

The previous prime is 13357548420793. The next prime is 13357548420829. The reversal of 13357548420804 is 40802484575331.

The square root of 13357548420804 is 3654798.

It is a perfect power (a square), and thus also a powerful number.

13357548420804 is a `hidden beast` number, since 1 + 3 + 3 + 57 + 548 + 42 + 0 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12150731924100 + 1206816496704 = 3485790^2 + 1098552^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26555762017 + ... + 26555762519.

Almost surely, 2^{13357548420804} is an apocalyptic number.

13357548420804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13357548420804 is the 3654798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13357548420804

13357548420804 is an abundant number, since it is smaller than the sum of its proper divisors (26227051618089).

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

13357548420804 is an equidigital number, since it uses as much as digits as its factorization.

13357548420804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 13357548420804 in words is "thirteen trillion, three hundred fifty-seven billion, five hundred forty-eight million, four hundred twenty thousand, eight hundred four".