13784958096100 has 27 divisors (see below), whose sum is σ = 29913439636731. Its totient is φ = 5513968387200.

The previous prime is 13784958096097. The next prime is 13784958096101. The reversal of 13784958096100 is 169085948731.

The square root of 13784958096100 is 3712810.

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

13784958096100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4112808336036 + 9672149760064 = 2028006^2 + 3110008^2 .

It is a super-2 number, since 2×13784958096100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13784958096101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36942460 + ... + 37313740.

Almost surely, 2^{13784958096100} is an apocalyptic number.

13784958096100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13784958096100 is the 3712810-th square number.

It is an amenable number.

13784958096100 is an abundant number, since it is smaller than the sum of its proper divisors (16128481540631).

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

13784958096100 is an frugal number, since it uses more digits than its factorization.

13784958096100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742576 (or 371288 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 61.

The spelling of 13784958096100 in words is "thirteen trillion, seven hundred eighty-four billion, nine hundred fifty-eight million, ninety-six thousand, one hundred".