45117629856 has 360 divisors, whose sum is σ = 144991655424. Its totient is φ = 13756055040.

The previous prime is 45117629833. The next prime is 45117629873. The reversal of 45117629856 is 65892671154.

It is a happy number.

45117629856 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 7 + 629 + 8 + 5 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55631691 + ... + 55632501.

Almost surely, 2^45117629856 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 45117629856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72495827712).

45117629856 is an abundant number, since it is smaller than the sum of its proper divisors (99874025568).

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

45117629856 is a wasteful number, since it uses less digits than its factorization.

45117629856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 956 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

It can be divided in two parts, 4511 and 7629856, that added together give a palindrome (7634367).

The spelling of 45117629856 in words is "forty-five billion, one hundred seventeen million, six hundred twenty-nine thousand, eight hundred fifty-six".