49752323460 has 864 divisors, whose sum is σ = 195117511680. Its totient is φ = 10189670400.

The previous prime is 49752323459. The next prime is 49752323461. The reversal of 49752323460 is 6432325794.

49752323460 is a `hidden beast` number, since 4 + 9 + 75 + 232 + 346 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49752323459) and next prime (49752323461).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49752323461) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 316893702 + ... + 316893858.

Almost surely, 2^49752323460 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 49752323460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97558755840).

49752323460 is an abundant number, since it is smaller than the sum of its proper divisors (145365188220).

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

49752323460 is a wasteful number, since it uses less digits than its factorization.

49752323460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 49752323460 in words is "forty-nine billion, seven hundred fifty-two million, three hundred twenty-three thousand, four hundred sixty".