45638101080 has 1024 divisors, whose sum is σ = 191213568000. Its totient is φ = 9517824000.

The previous prime is 45638101057. The next prime is 45638101109. The reversal of 45638101080 is 8010183654.

45638101080 is a `hidden beast` number, since 4 + 5 + 638 + 1 + 0 + 10 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 302239005 + ... + 302239155.

It is an arithmetic number, because the mean of its divisors is an integer number (186732000).

Almost surely, 2^45638101080 is an apocalyptic number.

45638101080 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 45638101080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95606784000).

45638101080 is an abundant number, since it is smaller than the sum of its proper divisors (145575466920).

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

45638101080 is a wasteful number, since it uses less digits than its factorization.

45638101080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 45638101080 in words is "forty-five billion, six hundred thirty-eight million, one hundred one thousand, eighty".