45101347680 has 96 divisors (see below), whose sum is σ = 148246205184. Its totient is φ = 11504109056.

The previous prime is 45101347649. The next prime is 45101347727. The reversal of 45101347680 is 8674310154.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2031594 + ... + 2053673.

It is an arithmetic number, because the mean of its divisors is an integer number (1544231304).

Almost surely, 2^45101347680 is an apocalyptic number.

45101347680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45101347680 is an abundant number, since it is smaller than the sum of its proper divisors (103144857504).

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

45101347680 is a wasteful number, since it uses less digits than its factorization.

45101347680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085308 (or 4085300 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

It can be divided in two parts, 4510 and 1347680, that added together give a triangular number (1352190 = T₁₆₄₄).

The spelling of 45101347680 in words is "forty-five billion, one hundred one million, three hundred forty-seven thousand, six hundred eighty".