254243626342452 has 192 divisors, whose sum is σ = 697045493760000. Its totient is φ = 79916895651456.

The previous prime is 254243626342427. The next prime is 254243626342457.

254243626342452 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 4 + 3 + 626 + 3 + 4 + 2 + 4 + 5 + 2 = 666.

254243626342452 is nontrivially palindromic in base 10.

254243626342452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254243626342457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3934835698 + ... + 3934900310.

It is an arithmetic number, because the mean of its divisors is an integer number (3630445280000).

Almost surely, 2^{254243626342452} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254243626342452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348522746880000).

254243626342452 is an abundant number, since it is smaller than the sum of its proper divisors (442801867417548).

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

254243626342452 is a wasteful number, since it uses less digits than its factorization.

254243626342452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73467 (or 73459 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 54.

The spelling of 254243626342452 in words is "two hundred fifty-four trillion, two hundred forty-three billion, six hundred twenty-six million, three hundred forty-two thousand, four hundred fifty-two".