12454435681020 has 144 divisors (see below), whose sum is σ = 38243057422752. Its totient is φ = 3280358438400.

The previous prime is 12454435680989. The next prime is 12454435681087. The reversal of 12454435681020 is 2018653445421.

12454435681020 is a `hidden beast` number, since 1 + 2 + 4 + 54 + 4 + 3 + 568 + 10 + 20 = 666.

It is a super-2 number, since 2×12454435681020² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61646170 + ... + 61847870.

It is an arithmetic number, because the mean of its divisors is an integer number (265576787658).

Almost surely, 2^{12454435681020} is an apocalyptic number.

12454435681020 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 12454435681020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19121528711376).

12454435681020 is an abundant number, since it is smaller than the sum of its proper divisors (25788621741732).

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

12454435681020 is a wasteful number, since it uses less digits than its factorization.

12454435681020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205932 (or 205927 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 12454435681020 in words is "twelve trillion, four hundred fifty-four billion, four hundred thirty-five million, six hundred eighty-one thousand, twenty".