45226212480000 has 2640 divisors, whose sum is σ = 182727145396224. Its totient is φ = 10717102080000.

The previous prime is 45226212479911. The next prime is 45226212480013. The reversal of 45226212480000 is 8421262254.

45226212480000 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 621 + 24 + 8 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×45226212480000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 142669439842 + ... + 142669440158.

Almost surely, 2^{45226212480000} is an apocalyptic number.

45226212480000 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 45226212480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91363572698112).

45226212480000 is an abundant number, since it is smaller than the sum of its proper divisors (137500932916224).

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

45226212480000 is a wasteful number, since it uses less digits than its factorization.

45226212480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 45226212480000 in words is "forty-five trillion, two hundred twenty-six billion, two hundred twelve million, four hundred eighty thousand".