254419521664 has 384 divisors, whose sum is σ = 678345891840. Its totient is φ = 93848832000.

The previous prime is 254419521661. The next prime is 254419521677. The reversal of 254419521664 is 466125914452.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (254419521661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100520079 + ... + 100522609.

It is an arithmetic number, because the mean of its divisors is an integer number (1766525760).

Almost surely, 2^254419521664 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 254419521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339172945920).

254419521664 is an abundant number, since it is smaller than the sum of its proper divisors (423926370176).

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

254419521664 is a wasteful number, since it uses less digits than its factorization.

254419521664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2629 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 49.

The spelling of 254419521664 in words is "two hundred fifty-four billion, four hundred nineteen million, five hundred twenty-one thousand, six hundred sixty-four".