45229424878560 has 1536 divisors, whose sum is σ = 174858924441600. Its totient is φ = 9718541844480.

The previous prime is 45229424878559. The next prime is 45229424878621. The reversal of 45229424878560 is 6587842492254.

It is a happy number.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45229424878491 and 45229424878500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7780734214 + ... + 7780740026.

It is an arithmetic number, because the mean of its divisors is an integer number (113840445600).

Almost surely, 2^{45229424878560} is an apocalyptic number.

45229424878560 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 45229424878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87429462220800).

45229424878560 is an abundant number, since it is smaller than the sum of its proper divisors (129629499563040).

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

45229424878560 is a wasteful number, since it uses less digits than its factorization.

45229424878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5996 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 66.

The spelling of 45229424878560 in words is "forty-five trillion, two hundred twenty-nine billion, four hundred twenty-four million, eight hundred seventy-eight thousand, five hundred sixty".