13454655210000 has 450 divisors, whose sum is σ = 48359385076002. Its totient is φ = 3490905600000.

The previous prime is 13454655209987. The next prime is 13454655210011. The reversal of 13454655210000 is 1255645431.

13454655210000 is a `hidden beast` number, since 1 + 3 + 4 + 546 + 5 + 5 + 2 + 100 + 0 + 0 = 666.

It can be written as a sum of positive squares in 15 ways, for example, as 7086158816256 + 6368496393744 = 2661984^2 + 2523588^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-3 number, since 3×13454655210000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 123155400 + ... + 123264600.

Almost surely, 2^{13454655210000} is an apocalyptic number.

13454655210000 is a gapful number since it is divisible by the number (10) 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 13454655210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24179692538001).

13454655210000 is an abundant number, since it is smaller than the sum of its proper divisors (34904729866002).

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

13454655210000 is a wasteful number, since it uses less digits than its factorization.

13454655210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109309 (or 109248 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 13454655210000 in words is "thirteen trillion, four hundred fifty-four billion, six hundred fifty-five million, two hundred ten thousand".