45265552151600 has 240 divisors, whose sum is σ = 119475236532960. Its totient is φ = 16344031641600.

The previous prime is 45265552151591. The next prime is 45265552151623. The reversal of 45265552151600 is 615125556254.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1031342456 + ... + 1031386344.

It is an arithmetic number, because the mean of its divisors is an integer number (497813485554).

Almost surely, 2^{45265552151600} is an apocalyptic number.

45265552151600 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 45265552151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59737618266480).

45265552151600 is an abundant number, since it is smaller than the sum of its proper divisors (74209684381360).

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

45265552151600 is a wasteful number, since it uses less digits than its factorization.

45265552151600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45568 (or 45557 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 47.

The spelling of 45265552151600 in words is "forty-five trillion, two hundred sixty-five billion, five hundred fifty-two million, one hundred fifty-one thousand, six hundred".