45874341763600 has 405 divisors, whose sum is σ = 129759924102951. Its totient is φ = 15540108864000.

The previous prime is 45874341763583. The next prime is 45874341763669. The reversal of 45874341763600 is 636714347854.

It is a happy number.

The square root of 45874341763600 is 6773060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8470451443216 + 37403890320384 = 2910404^2 + 6115872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 95771068161 + ... + 95771068639.

Almost surely, 2^{45874341763600} is an apocalyptic number.

45874341763600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45874341763600 is the 6773060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45874341763600

45874341763600 is an abundant number, since it is smaller than the sum of its proper divisors (83885582339351).

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

45874341763600 is an equidigital number, since it uses as much as digits as its factorization.

45874341763600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 58.

The spelling of 45874341763600 in words is "forty-five trillion, eight hundred seventy-four billion, three hundred forty-one million, seven hundred sixty-three thousand, six hundred".