254099116152 has 192 divisors, whose sum is σ = 849382308000. Its totient is φ = 70096223232.

The previous prime is 254099116151. The next prime is 254099116171. The reversal of 254099116152 is 251611990452.

254099116152 is a `hidden beast` number, since 2 + 5 + 409 + 91 + 1 + 6 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 254099116098 and 254099116107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254099116151) 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, 106993 + ... + 720864.

Almost surely, 2^254099116152 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 254099116152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424691154000).

254099116152 is an abundant number, since it is smaller than the sum of its proper divisors (595283191848).

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

254099116152 is a wasteful number, since it uses less digits than its factorization.

254099116152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827915 (or 827898 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 254099116152 in words is "two hundred fifty-four billion, ninety-nine million, one hundred sixteen thousand, one hundred fifty-two".