45350380014912 has 1680 divisors, whose sum is σ = 174089531911680. Its totient is φ = 11588006707200.

The previous prime is 45350380014869. The next prime is 45350380014949. The reversal of 45350380014912 is 21941008305354.

45350380014912 is a `hidden beast` number, since 4 + 53 + 503 + 8 + 0 + 0 + 1 + 4 + 91 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6134228688 + ... + 6134236080.

It is an arithmetic number, because the mean of its divisors is an integer number (103624721376).

Almost surely, 2^{45350380014912} is an apocalyptic number.

45350380014912 is a gapful number since it is divisible by the number (42) 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 45350380014912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87044765955840).

45350380014912 is an abundant number, since it is smaller than the sum of its proper divisors (128739151896768).

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

45350380014912 is a wasteful number, since it uses less digits than its factorization.

45350380014912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7522 (or 7496 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45350380014912 in words is "forty-five trillion, three hundred fifty billion, three hundred eighty million, fourteen thousand, nine hundred twelve".