254450138939136 has 1152 divisors, whose sum is σ = 918712003328000. Its totient is φ = 67848531738624.

The previous prime is 254450138939111. The next prime is 254450138939149. The reversal of 254450138939136 is 631939831054452.

254450138939136 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 501 + 3 + 8 + 9 + 3 + 91 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×254450138939136² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73349706810 + ... + 73349710278.

Almost surely, 2^{254450138939136} 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 254450138939136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459356001664000).

254450138939136 is an abundant number, since it is smaller than the sum of its proper divisors (664261864388864).

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

254450138939136 is a wasteful number, since it uses less digits than its factorization.

254450138939136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 254450138939136 in words is "two hundred fifty-four trillion, four hundred fifty billion, one hundred thirty-eight million, nine hundred thirty-nine thousand, one hundred thirty-six".