45840420864 has 312 divisors, whose sum is σ = 152047501632. Its totient is φ = 13035110400.

The previous prime is 45840420823. The next prime is 45840420877. The reversal of 45840420864 is 46802404854.

45840420864 is a `hidden beast` number, since 4 + 584 + 0 + 4 + 2 + 0 + 8 + 64 = 666.

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, 103477027 + ... + 103477469.

It is an arithmetic number, because the mean of its divisors is an integer number (487331736).

Almost surely, 2^45840420864 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 45840420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76023750816).

45840420864 is an abundant number, since it is smaller than the sum of its proper divisors (106207080768).

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

45840420864 is a wasteful number, since it uses less digits than its factorization.

45840420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 45840420864 in words is "forty-five billion, eight hundred forty million, four hundred twenty thousand, eight hundred sixty-four".