49170112315200 has 1008 divisors, whose sum is σ = 180011594810736. Its totient is φ = 12725600256000.

The previous prime is 49170112315189. The next prime is 49170112315243. The reversal of 49170112315200 is 251321107194.

It is a happy number.

49170112315200 is a `hidden beast` number, since 4 + 9 + 1 + 7 + 0 + 1 + 123 + 1 + 520 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 19662271534656 + 29507840780544 = 4434216^2 + 5432112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 18367616262 + ... + 18367618938.

Almost surely, 2^{49170112315200} is an apocalyptic number.

49170112315200 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 49170112315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90005797405368).

49170112315200 is an abundant number, since it is smaller than the sum of its proper divisors (130841482495536).

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

49170112315200 is a wasteful number, since it uses less digits than its factorization.

49170112315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 49170112315200 in words is "forty-nine trillion, one hundred seventy billion, one hundred twelve million, three hundred fifteen thousand, two hundred".