49154403868200 has 672 divisors, whose sum is σ = 180455436720000. Its totient is φ = 12411791170560.

The previous prime is 49154403868189. The next prime is 49154403868259. The reversal of 49154403868200 is 286830445194.

49154403868200 is a `hidden beast` number, since 4 + 9 + 1 + 54 + 4 + 0 + 386 + 8 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8640250956 + ... + 8640256644.

Almost surely, 2^{49154403868200} is an apocalyptic number.

49154403868200 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 49154403868200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90227718360000).

49154403868200 is an abundant number, since it is smaller than the sum of its proper divisors (131301032851800).

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

49154403868200 is a wasteful number, since it uses less digits than its factorization.

49154403868200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8861 (or 8837 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 49154403868200 in words is "forty-nine trillion, one hundred fifty-four billion, four hundred three million, eight hundred sixty-eight thousand, two hundred".