45360002880 has 168 divisors, whose sum is σ = 158217681024. Its totient is φ = 11925580800.

The previous prime is 45360002819. The next prime is 45360002903. The reversal of 45360002880 is 8820006354.

45360002880 is a `hidden beast` number, since 45 + 3 + 600 + 0 + 2 + 8 + 8 + 0 = 666.

45360002880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45360002880² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 93565 + ... + 315395.

Almost surely, 2^45360002880 is an apocalyptic number.

45360002880 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 45360002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79108840512).

45360002880 is an abundant number, since it is smaller than the sum of its proper divisors (112857678144).

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

45360002880 is a wasteful number, since it uses less digits than its factorization.

45360002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221925 (or 221912 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45360002880 in words is "forty-five billion, three hundred sixty million, two thousand, eight hundred eighty".