45125265114600 has 384 divisors, whose sum is σ = 160654567449600. Its totient is φ = 10362583756800.

The previous prime is 45125265114593. The next prime is 45125265114667. The reversal of 45125265114600 is 641156252154.

It is a happy number.

It is a super-2 number, since 2×45125265114600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1957106272 + ... + 1957129328.

It is an arithmetic number, because the mean of its divisors is an integer number (418371269400).

Almost surely, 2^{45125265114600} is an apocalyptic number.

45125265114600 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 45125265114600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80327283724800).

45125265114600 is an abundant number, since it is smaller than the sum of its proper divisors (115529302335000).

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

45125265114600 is a wasteful number, since it uses less digits than its factorization.

45125265114600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38713 (or 38704 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 45125265114600 in words is "forty-five trillion, one hundred twenty-five billion, two hundred sixty-five million, one hundred fourteen thousand, six hundred".