45364228254000 has 320 divisors, whose sum is σ = 163321392000000. Its totient is φ = 12036335097600.

The previous prime is 45364228253999. The next prime is 45364228254073. The reversal of 45364228254000 is 45282246354.

It is a happy number.

45364228254000 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 4 + 22 + 82 + 540 + 0 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 8635251 + ... + 12856749.

It is an arithmetic number, because the mean of its divisors is an integer number (510379350000).

Almost surely, 2^{45364228254000} is an apocalyptic number.

45364228254000 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 45364228254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81660696000000).

45364228254000 is an abundant number, since it is smaller than the sum of its proper divisors (117957163746000).

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

45364228254000 is a wasteful number, since it uses less digits than its factorization.

45364228254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221730 (or 4221708 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 45364228254000 in words is "forty-five trillion, three hundred sixty-four billion, two hundred twenty-eight million, two hundred fifty-four thousand".