45446401000 has 512 divisors, whose sum is σ = 144768798720. Its totient is φ = 12894336000.

The previous prime is 45446400983. The next prime is 45446401001. The reversal of 45446401000 is 10464454.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 45446401000.

It is not an unprimeable number, because it can be changed into a prime (45446401001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83082727 + ... + 83083273.

It is an arithmetic number, because the mean of its divisors is an integer number (282751560).

Almost surely, 2^45446401000 is an apocalyptic number.

45446401000 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 45446401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72384399360).

45446401000 is an abundant number, since it is smaller than the sum of its proper divisors (99322397720).

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

45446401000 is a wasteful number, since it uses less digits than its factorization.

45446401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 45446401000 its reverse (10464454), we get a palindrome (45456865454).

The spelling of 45446401000 in words is "forty-five billion, four hundred forty-six million, four hundred one thousand".