255451148928 has 384 divisors, whose sum is σ = 805581067200. Its totient is φ = 80352829440.

The previous prime is 255451148923. The next prime is 255451148957. The reversal of 255451148928 is 829841154552.

It is a happy number.

255451148928 is a `hidden beast` number, since 2 + 5 + 545 + 1 + 1 + 4 + 8 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×255451148928³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (255451148923) 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, 184974798 + ... + 184976178.

Almost surely, 2^255451148928 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 255451148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402790533600).

255451148928 is an abundant number, since it is smaller than the sum of its proper divisors (550129918272).

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

255451148928 is a wasteful number, since it uses less digits than its factorization.

255451148928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1718 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 54.

The spelling of 255451148928 in words is "two hundred fifty-five billion, four hundred fifty-one million, one hundred forty-eight thousand, nine hundred twenty-eight".