45075402624 has 512 divisors, whose sum is σ = 151756416000. Its totient is φ = 11801395200.

The previous prime is 45075402563. The next prime is 45075402653. The reversal of 45075402624 is 42620457054.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 91803019 + ... + 91803509.

It is an arithmetic number, because the mean of its divisors is an integer number (296399250).

Almost surely, 2^45075402624 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 45075402624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75878208000).

45075402624 is an abundant number, since it is smaller than the sum of its proper divisors (106681013376).

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

45075402624 is a wasteful number, since it uses less digits than its factorization.

45075402624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

Adding to 45075402624 its reverse (42620457054), we get a palindrome (87695859678).

The spelling of 45075402624 in words is "forty-five billion, seventy-five million, four hundred two thousand, six hundred twenty-four".