45575582342400 has 1944 divisors, whose sum is σ = 187069537200000. Its totient is φ = 10900035993600.

The previous prime is 45575582342393. The next prime is 45575582342509. The reversal of 45575582342400 is 424328557554.

45575582342400 is a `hidden beast` number, since 4 + 5 + 5 + 7 + 5 + 582 + 34 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 36489656976 + ... + 36489658224.

Almost surely, 2^{45575582342400} is an apocalyptic number.

45575582342400 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 45575582342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93534768600000).

45575582342400 is an abundant number, since it is smaller than the sum of its proper divisors (141493954857600).

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

45575582342400 is an equidigital number, since it uses as much as digits as its factorization.

45575582342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 26880000, while the sum is 54.

The spelling of 45575582342400 in words is "forty-five trillion, five hundred seventy-five billion, five hundred eighty-two million, three hundred forty-two thousand, four hundred".