45216082656000 has 4608 divisors, whose sum is σ = 198909914112000. Its totient is φ = 10032906240000.

The previous prime is 45216082655987. The next prime is 45216082656011. The reversal of 45216082656000 is 65628061254.

45216082656000 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 6 + 0 + 82 + 6 + 560 + 0 + 0 = 666.

It is a super-4 number, since 4×45216082656000⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 299444255925 + ... + 299444256075.

It is an arithmetic number, because the mean of its divisors is an integer number (43166214000).

Almost surely, 2^{45216082656000} is an apocalyptic number.

45216082656000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45216082656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99454957056000).

45216082656000 is an abundant number, since it is smaller than the sum of its proper divisors (153693831456000).

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

45216082656000 is a wasteful number, since it uses less digits than its factorization.

45216082656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 45216082656000 in words is "forty-five trillion, two hundred sixteen billion, eighty-two million, six hundred fifty-six thousand".