45898971840 has 448 divisors, whose sum is σ = 180480614400. Its totient is φ = 10912776192.

The previous prime is 45898971817. The next prime is 45898971841. The reversal of 45898971840 is 4817989854.

45898971840 is a `hidden beast` number, since 4 + 589 + 8 + 9 + 7 + 1 + 8 + 40 = 666.

It is a super-2 number, since 2×45898971840² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45898971841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2782497 + ... + 2798943.

Almost surely, 2^45898971840 is an apocalyptic number.

45898971840 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 45898971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90240307200).

45898971840 is an abundant number, since it is smaller than the sum of its proper divisors (134581642560).

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

45898971840 is a wasteful number, since it uses less digits than its factorization.

45898971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16509 (or 16493 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 45898971840 in words is "forty-five billion, eight hundred ninety-eight million, nine hundred seventy-one thousand, eight hundred forty".