45096487398144 has 1728 divisors, whose sum is σ = 174225845783808. Its totient is φ = 10880129433600.

The previous prime is 45096487398119. The next prime is 45096487398169. The reversal of 45096487398144 is 44189378469054.

45096487398144 is a `hidden beast` number, since 4 + 5 + 0 + 96 + 4 + 8 + 7 + 398 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (45096487398119) and next prime (45096487398169).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 61523174802 + ... + 61523175534.

It is an arithmetic number, because the mean of its divisors is an integer number (100825142236).

Almost surely, 2^{45096487398144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45096487398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87112922891904).

45096487398144 is an abundant number, since it is smaller than the sum of its proper divisors (129129358385664).

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

45096487398144 is a wasteful number, since it uses less digits than its factorization.

45096487398144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 45096487398144 in words is "forty-five trillion, ninety-six billion, four hundred eighty-seven million, three hundred ninety-eight thousand, one hundred forty-four".