45254224032 has 96 divisors (see below), whose sum is σ = 122137896384. Its totient is φ = 14660812800.

The previous prime is 45254224013. The next prime is 45254224051. The reversal of 45254224032 is 23042245254.

It is an interprime number because it is at equal distance from previous prime (45254224013) and next prime (45254224051).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 45254223984 and 45254224002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3442432 + ... + 3455552.

It is an arithmetic number, because the mean of its divisors is an integer number (1272269754).

Almost surely, 2^45254224032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45254224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61068948192).

45254224032 is an abundant number, since it is smaller than the sum of its proper divisors (76883672352).

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

45254224032 is a wasteful number, since it uses less digits than its factorization.

45254224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14142 (or 14134 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 45254224032 its reverse (23042245254), we get a palindrome (68296469286).

The spelling of 45254224032 in words is "forty-five billion, two hundred fifty-four million, two hundred twenty-four thousand, thirty-two".