49356718200 has 480 divisors, whose sum is σ = 183108816000. Its totient is φ = 12294374400.

The previous prime is 49356718199. The next prime is 49356718211. The reversal of 49356718200 is 281765394.

49356718200 is a `hidden beast` number, since 4 + 9 + 3 + 567 + 1 + 82 + 0 + 0 = 666.

It is a super-2 number, since 2×49356718200² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14562106 + ... + 14565494.

It is an arithmetic number, because the mean of its divisors is an integer number (381476700).

It is a 1-persistent number, because it is pandigital, but 2⋅49356718200 = 98713436400 is not.

Almost surely, 2^49356718200 is an apocalyptic number.

49356718200 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 49356718200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91554408000).

49356718200 is an abundant number, since it is smaller than the sum of its proper divisors (133752097800).

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

49356718200 is a wasteful number, since it uses less digits than its factorization.

49356718200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 49356718200 in words is "forty-nine billion, three hundred fifty-six million, seven hundred eighteen thousand, two hundred".