45673850880 has 576 divisors, whose sum is σ = 183305566080. Its totient is φ = 10301865984.

The previous prime is 45673850839. The next prime is 45673850909. The reversal of 45673850880 is 8805837654.

45673850880 is a `hidden beast` number, since 4 + 56 + 7 + 3 + 8 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×45673850880² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53544534 + ... + 53545386.

It is an arithmetic number, because the mean of its divisors is an integer number (318238830).

Almost surely, 2^45673850880 is an apocalyptic number.

45673850880 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 45673850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91652783040).

45673850880 is an abundant number, since it is smaller than the sum of its proper divisors (137631715200).

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

45673850880 is a wasteful number, since it uses less digits than its factorization.

45673850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 45673850880 in words is "forty-five billion, six hundred seventy-three million, eight hundred fifty thousand, eight hundred eighty".