45889773696 has 640 divisors, whose sum is σ = 156006829440. Its totient is φ = 13284311040.

The previous prime is 45889773679. The next prime is 45889773707. The reversal of 45889773696 is 69637798854.

45889773696 is a `hidden beast` number, since 4 + 588 + 9 + 7 + 7 + 36 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 350303551 + ... + 350303681.

It is an arithmetic number, because the mean of its divisors is an integer number (243760671).

Almost surely, 2^45889773696 is an apocalyptic number.

45889773696 is a gapful number since it is divisible by the number (46) 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 45889773696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78003414720).

45889773696 is an abundant number, since it is smaller than the sum of its proper divisors (110117055744).

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

45889773696 is a wasteful number, since it uses less digits than its factorization.

45889773696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 285 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 45889773696 in words is "forty-five billion, eight hundred eighty-nine million, seven hundred seventy-three thousand, six hundred ninety-six".