45474068640000 has 5760 divisors, whose sum is σ = 217503547785216. Its totient is φ = 8128512000000.

The previous prime is 45474068639953. The next prime is 45474068640097. The reversal of 45474068640000 is 4686047454.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 640479839965 + ... + 640479840035.

Almost surely, 2^{45474068640000} is an apocalyptic number.

45474068640000 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 45474068640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108751773892608).

45474068640000 is an abundant number, since it is smaller than the sum of its proper divisors (172029479145216).

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

45474068640000 is a wasteful number, since it uses less digits than its factorization.

45474068640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 45474068640000 in words is "forty-five trillion, four hundred seventy-four billion, sixty-eight million, six hundred forty thousand".