45375261600 has 288 divisors, whose sum is σ = 151302816000. Its totient is φ = 11808276480.

The previous prime is 45375261599. The next prime is 45375261647. The reversal of 45375261600 is 616257354.

It is a super-3 number, since 3×45375261600³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16873056 + ... + 16875744.

It is an arithmetic number, because the mean of its divisors is an integer number (525357000).

Almost surely, 2^45375261600 is an apocalyptic number.

45375261600 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 45375261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75651408000).

45375261600 is an abundant number, since it is smaller than the sum of its proper divisors (105927554400).

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

45375261600 is a wasteful number, since it uses less digits than its factorization.

45375261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 45375261600 in words is "forty-five billion, three hundred seventy-five million, two hundred sixty-one thousand, six hundred".