45227616000 has 1152 divisors, whose sum is σ = 188440971264. Its totient is φ = 9378201600.

The previous prime is 45227615999. The next prime is 45227616011. The reversal of 45227616000 is 61672254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 422687947 + ... + 422688053.

It is an arithmetic number, because the mean of its divisors is an integer number (163577232).

Almost surely, 2^45227616000 is an apocalyptic number.

45227616000 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 45227616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94220485632).

45227616000 is an abundant number, since it is smaller than the sum of its proper divisors (143213355264).

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

45227616000 is a wasteful number, since it uses less digits than its factorization.

45227616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 45227616000 in words is "forty-five billion, two hundred twenty-seven million, six hundred sixteen thousand".