45758255256 has 384 divisors, whose sum is σ = 153653760000. Its totient is φ = 12261860352.

The previous prime is 45758255227. The next prime is 45758255273. The reversal of 45758255256 is 65255285754.

45758255256 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 82 + 552 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 53021881 + ... + 53022743.

It is an arithmetic number, because the mean of its divisors is an integer number (400140000).

Almost surely, 2^45758255256 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 45758255256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76826880000).

45758255256 is an abundant number, since it is smaller than the sum of its proper divisors (107895504744).

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

45758255256 is a wasteful number, since it uses less digits than its factorization.

45758255256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1007 counting only the distinct ones).

The product of its digits is 16800000, while the sum is 54.

The spelling of 45758255256 in words is "forty-five billion, seven hundred fifty-eight million, two hundred fifty-five thousand, two hundred fifty-six".