45463498560 has 560 divisors, whose sum is σ = 167928609024. Its totient is φ = 11667566592.

The previous prime is 45463498541. The next prime is 45463498589. The reversal of 45463498560 is 6589436454.

45463498560 is a `hidden beast` number, since 4 + 5 + 46 + 34 + 9 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45463498497 and 45463498506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81621802 + ... + 81622358.

Almost surely, 2^45463498560 is an apocalyptic number.

45463498560 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 45463498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83964304512).

45463498560 is an abundant number, since it is smaller than the sum of its proper divisors (122465110464).

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

45463498560 is a wasteful number, since it uses less digits than its factorization.

45463498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 45463498560 in words is "forty-five billion, four hundred sixty-three million, four hundred ninety-eight thousand, five hundred sixty".