254133363331452 has 144 divisors (see below), whose sum is σ = 659244912631200. Its totient is φ = 76129126656000.

The previous prime is 254133363331451. The next prime is 254133363331459.

254133363331452 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254133363331451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634179952 + ... + 634580552.

It is an arithmetic number, because the mean of its divisors is an integer number (4578089671050).

Almost surely, 2^{254133363331452} is an apocalyptic number.

254133363331452 is a gapful number since it is divisible by the number (22) 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 254133363331452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329622456315600).

254133363331452 is an abundant number, since it is smaller than the sum of its proper divisors (405111549299748).

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

254133363331452 is a wasteful number, since it uses less digits than its factorization.

254133363331452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405628 (or 405615 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 48.

The spelling of 254133363331452 in words is "two hundred fifty-four trillion, one hundred thirty-three billion, three hundred sixty-three million, three hundred thirty-one thousand, four hundred fifty-two".