45462924450 has 288 divisors, whose sum is σ = 131755852800. Its totient is φ = 11212992000.

The previous prime is 45462924449. The next prime is 45462924469. The reversal of 45462924450 is 5442926454.

It is a happy number.

45462924450 is a `hidden beast` number, since 4 + 54 + 62 + 92 + 4 + 450 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 45462924396 and 45462924405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44095435 + ... + 44096465.

It is an arithmetic number, because the mean of its divisors is an integer number (457485600).

Almost surely, 2^45462924450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45462924450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65877926400).

45462924450 is an abundant number, since it is smaller than the sum of its proper divisors (86292928350).

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

45462924450 is a wasteful number, since it uses less digits than its factorization.

45462924450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 45462924450 in words is "forty-five billion, four hundred sixty-two million, nine hundred twenty-four thousand, four hundred fifty".