49486318358400 has 1152 divisors, whose sum is σ = 222288251927040. Its totient is φ = 10182990643200.

The previous prime is 49486318358387. The next prime is 49486318358453. The reversal of 49486318358400 is 485381368494.

49486318358400 is a `hidden beast` number, since 4 + 9 + 48 + 6 + 3 + 1 + 8 + 3 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228304474 + ... + 228521126.

It is an arithmetic number, because the mean of its divisors is an integer number (192958552020).

Almost surely, 2^{49486318358400} is an apocalyptic number.

49486318358400 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 49486318358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111144125963520).

49486318358400 is an abundant number, since it is smaller than the sum of its proper divisors (172801933568640).

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

49486318358400 is a wasteful number, since it uses less digits than its factorization.

49486318358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216804 (or 216784 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 49486318358400 in words is "forty-nine trillion, four hundred eighty-six billion, three hundred eighteen million, three hundred fifty-eight thousand, four hundred".