254216073384 has 768 divisors, whose sum is σ = 937407744000. Its totient is φ = 60354201600.

The previous prime is 254216073383. The next prime is 254216073431. The reversal of 254216073384 is 483370612452.

254216073384 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 1 + 607 + 3 + 38 + 4 = 666.

254216073384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×254216073384² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (254216073383) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 241879659 + ... + 241880709.

It is an arithmetic number, because the mean of its divisors is an integer number (1220583000).

Almost surely, 2^254216073384 is an apocalyptic number.

254216073384 is a gapful number since it is divisible by the number (24) 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 254216073384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468703872000).

254216073384 is an abundant number, since it is smaller than the sum of its proper divisors (683191670616).

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

254216073384 is a wasteful number, since it uses less digits than its factorization.

254216073384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 254216073384 in words is "two hundred fifty-four billion, two hundred sixteen million, seventy-three thousand, three hundred eighty-four".