45894689280 has 240 divisors, whose sum is σ = 173396830464. Its totient is φ = 11125923840.

The previous prime is 45894689273. The next prime is 45894689299. The reversal of 45894689280 is 8298649854.

45894689280 is a `hidden beast` number, since 4 + 5 + 8 + 9 + 468 + 92 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162897 + ... + 343983.

Almost surely, 2^45894689280 is an apocalyptic number.

45894689280 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 45894689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86698415232).

45894689280 is an abundant number, since it is smaller than the sum of its proper divisors (127502141184).

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

45894689280 is a wasteful number, since it uses less digits than its factorization.

45894689280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181127 (or 181108 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 45894689280 in words is "forty-five billion, eight hundred ninety-four million, six hundred eighty-nine thousand, two hundred eighty".