45410920160 has 96 divisors (see below), whose sum is σ = 109633305600. Its totient is φ = 17770756608.

The previous prime is 45410920133. The next prime is 45410920187. The reversal of 45410920160 is 6102901454.

It is an interprime number because it is at equal distance from previous prime (45410920133) and next prime (45410920187).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1351241 + ... + 1384439.

It is an arithmetic number, because the mean of its divisors is an integer number (1142013600).

Almost surely, 2^45410920160 is an apocalyptic number.

45410920160 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 45410920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54816652800).

45410920160 is an abundant number, since it is smaller than the sum of its proper divisors (64222385440).

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

45410920160 is a wasteful number, since it uses less digits than its factorization.

45410920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33400 (or 33392 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 45410920160 in words is "forty-five billion, four hundred ten million, nine hundred twenty thousand, one hundred sixty".