45555083735040 has 832 divisors, whose sum is σ = 177951296678400. Its totient is φ = 10964002406400.

The previous prime is 45555083735027. The next prime is 45555083735071. The reversal of 45555083735040 is 4053738055554.

45555083735040 is a `hidden beast` number, since 4 + 5 + 5 + 5 + 50 + 83 + 7 + 3 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 845448900 + ... + 845502780.

Almost surely, 2^{45555083735040} is an apocalyptic number.

45555083735040 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 45555083735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88975648339200).

45555083735040 is an abundant number, since it is smaller than the sum of its proper divisors (132396212943360).

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

45555083735040 is a wasteful number, since it uses less digits than its factorization.

45555083735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54069 (or 54041 counting only the distinct ones).

The product of its (nonzero) digits is 25200000, while the sum is 54.

The spelling of 45555083735040 in words is "forty-five trillion, five hundred fifty-five billion, eighty-three million, seven hundred thirty-five thousand, forty".