49963392000 has 880 divisors, whose sum is σ = 191650293120. Its totient is φ = 12939264000.

The previous prime is 49963391999. The next prime is 49963392001. The reversal of 49963392000 is 29336994.

49963392000 is a `hidden beast` number, since 4 + 9 + 9 + 633 + 9 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49963391999) and next prime (49963392001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49963392001) 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 79 ways as a sum of consecutive naturals, for example, 632447961 + ... + 632448039.

It is an arithmetic number, because the mean of its divisors is an integer number (217784424).

Almost surely, 2^49963392000 is an apocalyptic number.

49963392000 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 49963392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95825146560).

49963392000 is an abundant number, since it is smaller than the sum of its proper divisors (141686901120).

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

49963392000 is an equidigital number, since it uses as much as digits as its factorization.

49963392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 49963392000 in words is "forty-nine billion, nine hundred sixty-three million, three hundred ninety-two thousand".