45571733222400 has 4752 divisors, whose sum is σ = 219909634465920. Its totient is φ = 9163984896000.

The previous prime is 45571733222399. The next prime is 45571733222417. The reversal of 45571733222400 is 422233717554.

45571733222400 is a `hidden beast` number, since 4 + 5 + 5 + 7 + 17 + 3 + 3 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1470055910385 + ... + 1470055910415.

Almost surely, 2^{45571733222400} is an apocalyptic number.

45571733222400 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 45571733222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109954817232960).

45571733222400 is an abundant number, since it is smaller than the sum of its proper divisors (174337901243520).

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

45571733222400 is an equidigital number, since it uses as much as digits as its factorization.

45571733222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

Adding to 45571733222400 its reverse (422233717554), we get a palindrome (45993966939954).

The spelling of 45571733222400 in words is "forty-five trillion, five hundred seventy-one billion, seven hundred thirty-three million, two hundred twenty-two thousand, four hundred".