45560451024 has 240 divisors, whose sum is σ = 145135710720. Its totient is φ = 13721374080.

The previous prime is 45560451007. The next prime is 45560451049. The reversal of 45560451024 is 42015406554.

45560451024 is a `hidden beast` number, since 45 + 5 + 604 + 5 + 1 + 0 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45560451024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7139067 + ... + 7145445.

It is an arithmetic number, because the mean of its divisors is an integer number (604732128).

Almost surely, 2^45560451024 is an apocalyptic number.

45560451024 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 45560451024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72567855360).

45560451024 is an abundant number, since it is smaller than the sum of its proper divisors (99575259696).

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

45560451024 is a wasteful number, since it uses less digits than its factorization.

45560451024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6580 (or 6562 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 45560451024 its reverse (42015406554), we get a palindrome (87575857578).

The spelling of 45560451024 in words is "forty-five billion, five hundred sixty million, four hundred fifty-one thousand, twenty-four".