45955112256 has 252 divisors, whose sum is σ = 138441124692. Its totient is φ = 14570496000.

The previous prime is 45955112243. The next prime is 45955112293. The reversal of 45955112256 is 65221155954.

45955112256 is a `hidden beast` number, since 4 + 595 + 5 + 1 + 1 + 2 + 2 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4093952256 + 41861160000 = 63984^2 + 204600^2 .

It is a super-2 number, since 2×45955112256² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33765016 + ... + 33766376.

Almost surely, 2^45955112256 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 45955112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69220562346).

45955112256 is an abundant number, since it is smaller than the sum of its proper divisors (92486012436).

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

45955112256 is a wasteful number, since it uses less digits than its factorization.

45955112256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1458 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The spelling of 45955112256 in words is "forty-five billion, nine hundred fifty-five million, one hundred twelve thousand, two hundred fifty-six".