45177496017696 has 672 divisors, whose sum is σ = 160979993653248. Its totient is φ = 12200915381760.

The previous prime is 45177496017683. The next prime is 45177496017697. The reversal of 45177496017696 is 69671069477154.

45177496017696 is a `hidden beast` number, since 4 + 5 + 1 + 7 + 7 + 4 + 9 + 601 + 7 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×45177496017696² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45177496017697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 217569795 + ... + 217777341.

It is an arithmetic number, because the mean of its divisors is an integer number (239553561984).

Almost surely, 2^{45177496017696} 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 45177496017696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80489996826624).

45177496017696 is an abundant number, since it is smaller than the sum of its proper divisors (115802497635552).

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

45177496017696 is a wasteful number, since it uses less digits than its factorization.

45177496017696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207656 (or 207633 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 45177496017696 in words is "forty-five trillion, one hundred seventy-seven billion, four hundred ninety-six million, seventeen thousand, six hundred ninety-six".