49966301952 has 432 divisors, whose sum is σ = 177464985600. Its totient is φ = 13812664320.

The previous prime is 49966301951. The next prime is 49966301981. The reversal of 49966301952 is 25910366994.

49966301952 is a `hidden beast` number, since 499 + 6 + 63 + 0 + 1 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (49966301951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10496949 + ... + 10501707.

Almost surely, 2^49966301952 is an apocalyptic number.

49966301952 is a gapful number since it is divisible by the number (42) 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 49966301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88732492800).

49966301952 is an abundant number, since it is smaller than the sum of its proper divisors (127498683648).

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

49966301952 is a wasteful number, since it uses less digits than its factorization.

49966301952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4802 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 49966301952 in words is "forty-nine billion, nine hundred sixty-six million, three hundred one thousand, nine hundred fifty-two".