45276808133088 has 288 divisors, whose sum is σ = 153632724537600. Its totient is φ = 12934969221888.

The previous prime is 45276808133087. The next prime is 45276808133111. The reversal of 45276808133088 is 88033180867254.

45276808133088 is a `hidden beast` number, since 4 + 5 + 2 + 76 + 80 + 81 + 330 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45276808133087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487960683 + ... + 488053461.

It is an arithmetic number, because the mean of its divisors is an integer number (533446960200).

Almost surely, 2^{45276808133088} is an apocalyptic number.

45276808133088 is a gapful number since it is divisible by the number (48) 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 45276808133088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76816362268800).

45276808133088 is an abundant number, since it is smaller than the sum of its proper divisors (108355916404512).

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

45276808133088 is a wasteful number, since it uses less digits than its factorization.

45276808133088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104339 (or 104318 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 45276808133088 in words is "forty-five trillion, two hundred seventy-six billion, eight hundred eight million, one hundred thirty-three thousand, eighty-eight".