13499451705600 has 1377 divisors, whose sum is σ = 58302715227897. Its totient is φ = 3085588961280.

The previous prime is 13499451705559. The next prime is 13499451705613. The reversal of 13499451705600 is 650715499431.

The square root of 13499451705600 is 3674160.

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

13499451705600 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 9 + 4 + 5 + 1 + 70 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4859802614016 + 8639649091584 = 2204496^2 + 2939328^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 152 ways as a sum of consecutive naturals, for example, 1928493100797 + ... + 1928493100803.

Almost surely, 2^{13499451705600} is an apocalyptic number.

13499451705600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13499451705600 is the 3674160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13499451705600

13499451705600 is an abundant number, since it is smaller than the sum of its proper divisors (44803263522297).

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

13499451705600 is an frugal number, since it uses more digits than its factorization.

13499451705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 13499451705600 in words is "thirteen trillion, four hundred ninety-nine billion, four hundred fifty-one million, seven hundred five thousand, six hundred".