45633536256 has 288 divisors, whose sum is σ = 152466048000. Its totient is φ = 11771043840.

The previous prime is 45633536251. The next prime is 45633536269. The reversal of 45633536256 is 65263533654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45633536251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8808675 + ... + 8813853.

It is an arithmetic number, because the mean of its divisors is an integer number (529396000).

Almost surely, 2^45633536256 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 45633536256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76233024000).

45633536256 is an abundant number, since it is smaller than the sum of its proper divisors (106832511744).

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

45633536256 is a wasteful number, since it uses less digits than its factorization.

45633536256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365 (or 5351 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 48.

The spelling of 45633536256 in words is "forty-five billion, six hundred thirty-three million, five hundred thirty-six thousand, two hundred fifty-six".