45604823040 has 896 divisors, whose sum is σ = 190996945920. Its totient is φ = 10107224064.

The previous prime is 45604823029. The next prime is 45604823051. The reversal of 45604823040 is 4032840654.

45604823040 is a `hidden beast` number, since 4 + 5 + 604 + 8 + 2 + 3 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (45604823029) and next prime (45604823051).

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a junction number, because it is equal to n+sod(n) for n = 45604822986 and 45604823004.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 332881852 + ... + 332881988.

Almost surely, 2^45604823040 is an apocalyptic number.

45604823040 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 45604823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95498472960).

45604823040 is an abundant number, since it is smaller than the sum of its proper divisors (145392122880).

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

45604823040 is a wasteful number, since it uses less digits than its factorization.

45604823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 45604823040 in words is "forty-five billion, six hundred four million, eight hundred twenty-three thousand, forty".