45653834880 has 192 divisors, whose sum is σ = 157987065600. Its totient is φ = 12148205568.

The previous prime is 45653834879. The next prime is 45653834921. The reversal of 45653834880 is 8843835654.

45653834880 is a `hidden beast` number, since 4 + 565 + 38 + 3 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×45653834880² (a number of 22 digits) contains 22 as substring.

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, 2750767 + ... + 2767313.

It is an arithmetic number, because the mean of its divisors is an integer number (822849300).

Almost surely, 2^45653834880 is an apocalyptic number.

45653834880 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 45653834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78993532800).

45653834880 is an abundant number, since it is smaller than the sum of its proper divisors (112333230720).

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

45653834880 is a wasteful number, since it uses less digits than its factorization.

45653834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17051 (or 17036 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 45653834880 in words is "forty-five billion, six hundred fifty-three million, eight hundred thirty-four thousand, eight hundred eighty".