45444522400 has 144 divisors (see below), whose sum is σ = 122575529664. Its totient is φ = 16364564480.

The previous prime is 45444522397. The next prime is 45444522457. The reversal of 45444522400 is 422544454.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240159 + ... + 385441.

It is an arithmetic number, because the mean of its divisors is an integer number (851218956).

Almost surely, 2^45444522400 is an apocalyptic number.

45444522400 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 45444522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61287764832).

45444522400 is an abundant number, since it is smaller than the sum of its proper divisors (77131007264).

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

45444522400 is a wasteful number, since it uses less digits than its factorization.

45444522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145343 (or 145330 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 34.

The spelling of 45444522400 in words is "forty-five billion, four hundred forty-four million, five hundred twenty-two thousand, four hundred".