254060152164 has 288 divisors, whose sum is σ = 837550837760. Its totient is φ = 63055584000.

The previous prime is 254060152141. The next prime is 254060152207. The reversal of 254060152164 is 461251060452.

254060152164 is a `hidden beast` number, since 2 + 5 + 40 + 601 + 5 + 2 + 1 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9385329 + ... + 9412359.

Almost surely, 2^254060152164 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 254060152164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418775418880).

254060152164 is an abundant number, since it is smaller than the sum of its proper divisors (583490685596).

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

254060152164 is a wasteful number, since it uses less digits than its factorization.

254060152164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27231 (or 27226 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 254060152164 in words is "two hundred fifty-four billion, sixty million, one hundred fifty-two thousand, one hundred sixty-four".