49198662696960 has 3840 divisors, whose sum is σ = 223465697280000. Its totient is φ = 10016853590016.

The previous prime is 49198662696919. The next prime is 49198662696961. The reversal of 49198662696960 is 6969626689194.

49198662696960 is a `hidden beast` number, since 491 + 9 + 8 + 6 + 6 + 2 + 6 + 9 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×49198662696960² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49198662696960.

It is not an unprimeable number, because it can be changed into a prime (49198662696961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 622767882201 + ... + 622767882279.

It is an arithmetic number, because the mean of its divisors is an integer number (58194192000).

Almost surely, 2^{49198662696960} is an apocalyptic number.

49198662696960 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 49198662696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111732848640000).

49198662696960 is an abundant number, since it is smaller than the sum of its proper divisors (174267034583040).

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

49198662696960 is a wasteful number, since it uses less digits than its factorization.

49198662696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3265173504, while the sum is 81.

The spelling of 49198662696960 in words is "forty-nine trillion, one hundred ninety-eight billion, six hundred sixty-two million, six hundred ninety-six thousand, nine hundred sixty".