45769909248 has 616 divisors, whose sum is σ = 165386464320. Its totient is φ = 12361973760.

The previous prime is 45769909231. The next prime is 45769909249. The reversal of 45769909248 is 84290996754.

45769909248 is a `hidden beast` number, since 457 + 6 + 9 + 90 + 92 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45769909249) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 99283738 + ... + 99284198.

It is an arithmetic number, because the mean of its divisors is an integer number (268484520).

Almost surely, 2^45769909248 is an apocalyptic number.

45769909248 is a gapful number since it is divisible by the number (48) 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 45769909248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82693232160).

45769909248 is an abundant number, since it is smaller than the sum of its proper divisors (119616555072).

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

45769909248 is an equidigital number, since it uses as much as digits as its factorization.

45769909248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 45769909248 in words is "forty-five billion, seven hundred sixty-nine million, nine hundred nine thousand, two hundred forty-eight".