45790020144 has 480 divisors, whose sum is σ = 152723082240. Its totient is φ = 13017024000.

The previous prime is 45790020139. The next prime is 45790020151. The reversal of 45790020144 is 44102009754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45790020099 and 45790020108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168966729 + ... + 168966999.

It is an arithmetic number, because the mean of its divisors is an integer number (318173088).

Almost surely, 2^45790020144 is an apocalyptic number.

45790020144 is a gapful number since it is divisible by the number (44) 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 45790020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76361541120).

45790020144 is an abundant number, since it is smaller than the sum of its proper divisors (106933062096).

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

45790020144 is a wasteful number, since it uses less digits than its factorization.

45790020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 45790020144 its reverse (44102009754), we get a palindrome (89892029898).

The spelling of 45790020144 in words is "forty-five billion, seven hundred ninety million, twenty thousand, one hundred forty-four".