254315464513452 has 144 divisors (see below), whose sum is σ = 678854715829920. Its totient is φ = 82332584296704.

The previous prime is 254315464513447. The next prime is 254315464513471.

254315464513452 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 1 + 546 + 4 + 51 + 3 + 45 + 2 = 666.

254315464513452 is nontrivially palindromic in base 10.

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

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, 80809518 + ... + 83897610.

It is an arithmetic number, because the mean of its divisors is an integer number (4714268859930).

Almost surely, 2^{254315464513452} 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 254315464513452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339427357914960).

254315464513452 is an abundant number, since it is smaller than the sum of its proper divisors (424539251316468).

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

254315464513452 is a wasteful number, since it uses less digits than its factorization.

254315464513452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088737 (or 3088692 counting only the distinct ones).

The product of its digits is 34560000, while the sum is 54.

The spelling of 254315464513452 in words is "two hundred fifty-four trillion, three hundred fifteen billion, four hundred sixty-four million, five hundred thirteen thousand, four hundred fifty-two".