45455805133760 has 224 divisors, whose sum is σ = 127042586818560. Its totient is φ = 15168034971648.

The previous prime is 45455805133751. The next prime is 45455805133777. The reversal of 45455805133760 is 6733150855454.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 45455805133696 and 45455805133705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17639084 + ... + 20051156.

It is an arithmetic number, because the mean of its divisors is an integer number (567154405440).

Almost surely, 2^{45455805133760} is an apocalyptic number.

45455805133760 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 45455805133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63521293409280).

45455805133760 is an abundant number, since it is smaller than the sum of its proper divisors (81586781684800).

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

45455805133760 is a wasteful number, since it uses less digits than its factorization.

45455805133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412323 (or 2412313 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 56.

The spelling of 45455805133760 in words is "forty-five trillion, four hundred fifty-five billion, eight hundred five million, one hundred thirty-three thousand, seven hundred sixty".