45892644057600 has 240 divisors, whose sum is σ = 151635110758560. Its totient is φ = 12235485184000.

The previous prime is 45892644057583. The next prime is 45892644057629. The reversal of 45892644057600 is 675044629854.

It is a happy number.

45892644057600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×45892644057600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187615375 + ... + 187859825.

It is an arithmetic number, because the mean of its divisors is an integer number (631812961494).

Almost surely, 2^{45892644057600} is an apocalyptic number.

45892644057600 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 45892644057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75817555379280).

45892644057600 is an abundant number, since it is smaller than the sum of its proper divisors (105742466700960).

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

45892644057600 is a wasteful number, since it uses less digits than its factorization.

45892644057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249371 (or 249350 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 45892644057600 in words is "forty-five trillion, eight hundred ninety-two billion, six hundred forty-four million, fifty-seven thousand, six hundred".