45410091264 has 288 divisors, whose sum is σ = 140354121600. Its totient is φ = 14463590400.

The previous prime is 45410091253. The next prime is 45410091299. The reversal of 45410091264 is 46219001454.

45410091264 is a `hidden beast` number, since 4 + 541 + 0 + 0 + 91 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20244127 + ... + 20246369.

It is an arithmetic number, because the mean of its divisors is an integer number (487340700).

Almost surely, 2^45410091264 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 45410091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70177060800).

45410091264 is an abundant number, since it is smaller than the sum of its proper divisors (94944030336).

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

45410091264 is a wasteful number, since it uses less digits than its factorization.

45410091264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 45410091264 in words is "forty-five billion, four hundred ten million, ninety-one thousand, two hundred sixty-four".