45909031253760 has 1152 divisors, whose sum is σ = 176562747648000. Its totient is φ = 11264978976768.

The previous prime is 45909031253719. The next prime is 45909031253773. The reversal of 45909031253760 is 6735213090954.

45909031253760 is a `hidden beast` number, since 4 + 5 + 9 + 0 + 90 + 3 + 12 + 537 + 6 + 0 = 666.

45909031253760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 45909031253697 and 45909031253706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2617531071 + ... + 2617548609.

It is an arithmetic number, because the mean of its divisors is an integer number (153266274000).

Almost surely, 2^{45909031253760} is an apocalyptic number.

45909031253760 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 45909031253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88281373824000).

45909031253760 is an abundant number, since it is smaller than the sum of its proper divisors (130653716394240).

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

45909031253760 is a wasteful number, since it uses less digits than its factorization.

45909031253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17718 (or 17698 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 45909031253760 in words is "forty-five trillion, nine hundred nine billion, thirty-one million, two hundred fifty-three thousand, seven hundred sixty".