49294483200 has 864 divisors, whose sum is σ = 192221030400. Its totient is φ = 12335431680.

The previous prime is 49294483163. The next prime is 49294483237. The reversal of 49294483200 is 238449294.

It is a happy number.

49294483200 is a `hidden beast` number, since 492 + 94 + 48 + 32 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49294483163) and next prime (49294483237).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 313977522 + ... + 313977678.

Almost surely, 2^49294483200 is an apocalyptic number.

49294483200 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 49294483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96110515200).

49294483200 is an abundant number, since it is smaller than the sum of its proper divisors (142926547200).

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

49294483200 is a wasteful number, since it uses less digits than its factorization.

49294483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 49294483200 in words is "forty-nine billion, two hundred ninety-four million, four hundred eighty-three thousand, two hundred".