49145241600 has 1008 divisors, whose sum is σ = 217402147872. Its totient is φ = 10333716480.

The previous prime is 49145241599. The next prime is 49145241617. The reversal of 49145241600 is 614254194.

49145241600 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 5 + 2 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×49145241600³ (a number of 33 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 167731054 + ... + 167731346.

It is an arithmetic number, because the mean of its divisors is an integer number (215676734).

Almost surely, 2^49145241600 is an apocalyptic number.

49145241600 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 49145241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108701073936).

49145241600 is an abundant number, since it is smaller than the sum of its proper divisors (168256906272).

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

49145241600 is a wasteful number, since it uses less digits than its factorization.

49145241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 49145241600 its reverse (614254194), we get a palindrome (49759495794).

The spelling of 49145241600 in words is "forty-nine billion, one hundred forty-five million, two hundred forty-one thousand, six hundred".