45074514606000 has 640 divisors, whose sum is σ = 166940793676800. Its totient is φ = 10347955200000.

The previous prime is 45074514605977. The next prime is 45074514606001. The reversal of 45074514606000 is 60641547054.

It is not an unprimeable number, because it can be changed into a prime (45074514606001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4139448556 + ... + 4139459444.

It is an arithmetic number, because the mean of its divisors is an integer number (260844990120).

Almost surely, 2^{45074514606000} is an apocalyptic number.

45074514606000 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 45074514606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83470396838400).

45074514606000 is an abundant number, since it is smaller than the sum of its proper divisors (121866279070800).

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

45074514606000 is a wasteful number, since it uses less digits than its factorization.

45074514606000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14246 (or 14230 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 45074514606000 in words is "forty-five trillion, seventy-four billion, five hundred fourteen million, six hundred six thousand".