45019813860 has 576 divisors, whose sum is σ = 166657720320. Its totient is φ = 9621227520.

The previous prime is 45019813859. The next prime is 45019813873. The reversal of 45019813860 is 6831891054.

45019813860 is a `hidden beast` number, since 4 + 501 + 9 + 8 + 138 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 251507251 + ... + 251507429.

It is an arithmetic number, because the mean of its divisors is an integer number (289336320).

Almost surely, 2^45019813860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45019813860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328860160).

45019813860 is an abundant number, since it is smaller than the sum of its proper divisors (121637906460).

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

45019813860 is a wasteful number, since it uses less digits than its factorization.

45019813860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 45019813860 in words is "forty-five billion, nineteen million, eight hundred thirteen thousand, eight hundred sixty".