49106582616960 has 1152 divisors, whose sum is σ = 207740059581600. Its totient is φ = 10614602465280.

The previous prime is 49106582616947. The next prime is 49106582616967. The reversal of 49106582616960 is 6961628560194.

49106582616960 is a `hidden beast` number, since 4 + 9 + 1 + 0 + 6 + 5 + 8 + 2 + 616 + 9 + 6 + 0 = 666.

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

It is a super-2 number, since 2×49106582616960² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49106582616967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 225009012 + ... + 225227148.

Almost surely, 2^{49106582616960} is an apocalyptic number.

49106582616960 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 49106582616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103870029790800).

49106582616960 is an abundant number, since it is smaller than the sum of its proper divisors (158633476964640).

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

49106582616960 is a wasteful number, since it uses less digits than its factorization.

49106582616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218220 (or 218194 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 49106582616960 in words is "forty-nine trillion, one hundred six billion, five hundred eighty-two million, six hundred sixteen thousand, nine hundred sixty".