45400633608000 has 2688 divisors, whose sum is σ = 181056579305472. Its totient is φ = 10011133440000.

The previous prime is 45400633607993. The next prime is 45400633608059. The reversal of 45400633608000 is 80633600454.

It is a super-2 number, since 2×45400633608000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45400633608000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 357485303937 + ... + 357485304063.

Almost surely, 2^{45400633608000} is an apocalyptic number.

45400633608000 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 45400633608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90528289652736).

45400633608000 is an abundant number, since it is smaller than the sum of its proper divisors (135655945697472).

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

45400633608000 is a wasteful number, since it uses less digits than its factorization.

45400633608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 45400633608000 in words is "forty-five trillion, four hundred billion, six hundred thirty-three million, six hundred eight thousand".