45414141696 has 864 divisors, whose sum is σ = 178563840000. Its totient is φ = 11152650240.

The previous prime is 45414141613. The next prime is 45414141697. The reversal of 45414141696 is 69614141454.

45414141696 is a `hidden beast` number, since 4 + 5 + 4 + 141 + 416 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45414141697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91010055 + ... + 91010553.

Almost surely, 2^45414141696 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 45414141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89281920000).

45414141696 is an abundant number, since it is smaller than the sum of its proper divisors (133149698304).

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

45414141696 is a wasteful number, since it uses less digits than its factorization.

45414141696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 541 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 45414141696 in words is "forty-five billion, four hundred fourteen million, one hundred forty-one thousand, six hundred ninety-six".