49546291200 has 864 divisors, whose sum is σ = 197973266400. Its totient is φ = 10886184960.

The previous prime is 49546291183. The next prime is 49546291213. The reversal of 49546291200 is 219264594.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 218265487 + ... + 218265713.

It is an arithmetic number, because the mean of its divisors is an integer number (229135725).

Almost surely, 2^49546291200 is an apocalyptic number.

49546291200 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 49546291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98986633200).

49546291200 is an abundant number, since it is smaller than the sum of its proper divisors (148426975200).

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

49546291200 is a wasteful number, since it uses less digits than its factorization.

49546291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 49546291200 in words is "forty-nine billion, five hundred forty-six million, two hundred ninety-one thousand, two hundred".