49170466800 has 1680 divisors, whose sum is σ = 232930716480. Its totient is φ = 9674588160.

The previous prime is 49170466769. The next prime is 49170466801. The reversal of 49170466800 is 866407194.

49170466800 is a `hidden beast` number, since 49 + 1 + 70 + 466 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 (49170466801) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 451105146 + ... + 451105254.

It is an arithmetic number, because the mean of its divisors is an integer number (138649236).

Almost surely, 2^49170466800 is an apocalyptic number.

49170466800 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 49170466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116465358240).

49170466800 is an abundant number, since it is smaller than the sum of its proper divisors (183760249680).

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

49170466800 is a wasteful number, since it uses less digits than its factorization.

49170466800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 49170466800 in words is "forty-nine billion, one hundred seventy million, four hundred sixty-six thousand, eight hundred".