45363059280 has 720 divisors, whose sum is σ = 198112195008. Its totient is φ = 9192960000.

The previous prime is 45363059257. The next prime is 45363059293. The reversal of 45363059280 is 8295036354.

45363059280 is a `hidden beast` number, since 4 + 5 + 3 + 630 + 5 + 9 + 2 + 8 + 0 = 666.

45363059280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15909855 + ... + 15912705.

Almost surely, 2^45363059280 is an apocalyptic number.

45363059280 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 45363059280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99056097504).

45363059280 is an abundant number, since it is smaller than the sum of its proper divisors (152749135728).

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

45363059280 is a wasteful number, since it uses less digits than its factorization.

45363059280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 45363059280 in words is "forty-five billion, three hundred sixty-three million, fifty-nine thousand, two hundred eighty".