45808863100 has 576 divisors, whose sum is σ = 141362952192. Its totient is φ = 12418560000.

The previous prime is 45808863073. The next prime is 45808863127. The reversal of 45808863100 is 136880854.

It is an interprime number because it is at equal distance from previous prime (45808863073) and next prime (45808863127).

It is a super-2 number, since 2×45808863100² (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 191 ways as a sum of consecutive naturals, for example, 232532202 + ... + 232532398.

It is an arithmetic number, because the mean of its divisors is an integer number (245421792).

Almost surely, 2^45808863100 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 45808863100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70681476096).

45808863100 is an abundant number, since it is smaller than the sum of its proper divisors (95554089092).

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

45808863100 is a wasteful number, since it uses less digits than its factorization.

45808863100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 45808863100 in words is "forty-five billion, eight hundred eight million, eight hundred sixty-three thousand, one hundred".