45110387496960 has 1920 divisors, whose sum is σ = 174654233994240. Its totient is φ = 11152865230848.

The previous prime is 45110387496953. The next prime is 45110387497001. The reversal of 45110387496960 is 6969478301154.

45110387496960 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 0 + 3 + 87 + 496 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 171522385789 + ... + 171522386051.

It is an arithmetic number, because the mean of its divisors is an integer number (90965746872).

Almost surely, 2^{45110387496960} is an apocalyptic number.

45110387496960 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 45110387496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87327116997120).

45110387496960 is an abundant number, since it is smaller than the sum of its proper divisors (129543846497280).

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

45110387496960 is an frugal number, since it uses more digits than its factorization.

45110387496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 45110387496960 in words is "forty-five trillion, one hundred ten billion, three hundred eighty-seven million, four hundred ninety-six thousand, nine hundred sixty".