45567630144400 has 405 divisors, whose sum is σ = 137936787618681. Its totient is φ = 14417515607040.

The previous prime is 45567630144313. The next prime is 45567630144431. The reversal of 45567630144400 is 444103676554.

The square root of 45567630144400 is 6750380.

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

It can be written as a sum of positive squares in 13 ways, for example, as 45564606024336 + 3024120064 = 6750156^2 + 54992^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 12285689746 + ... + 12285693454.

Almost surely, 2^{45567630144400} is an apocalyptic number.

45567630144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45567630144400 is the 6750380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45567630144400

45567630144400 is an abundant number, since it is smaller than the sum of its proper divisors (92369157474281).

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

45567630144400 is an equidigital number, since it uses as much as digits as its factorization.

45567630144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7476 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

45567630144400 divided by its sum of digits (49) gives a square (929951635600 = 964340²).

The spelling of 45567630144400 in words is "forty-five trillion, five hundred sixty-seven billion, six hundred thirty million, one hundred forty-four thousand, four hundred".