13354461470700 has 2880 divisors, whose sum is σ = 56937987735552. Its totient is φ = 2637221068800.

The previous prime is 13354461470641. The next prime is 13354461470789. The reversal of 13354461470700 is 707416445331.

13354461470700 is a `hidden beast` number, since 1 + 3 + 3 + 54 + 4 + 61 + 470 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 51962884972 + ... + 51962885228.

Almost surely, 2^{13354461470700} is an apocalyptic number.

13354461470700 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 13354461470700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28468993867776).

13354461470700 is an abundant number, since it is smaller than the sum of its proper divisors (43583526264852).

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

13354461470700 is a wasteful number, since it uses less digits than its factorization.

13354461470700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 13354461470700 in words is "thirteen trillion, three hundred fifty-four billion, four hundred sixty-one million, four hundred seventy thousand, seven hundred".