49207840246656 has 3072 divisors, whose sum is σ = 200238848409600. Its totient is φ = 11670778183680.

The previous prime is 49207840246651. The next prime is 49207840246661. The reversal of 49207840246656 is 65664204870294.

It is a happy number.

49207840246656 is a `hidden beast` number, since 4 + 92 + 0 + 7 + 84 + 0 + 2 + 466 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (49207840246651) and next prime (49207840246661).

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

It is a junction number, because it is equal to n+sod(n) for n = 49207840246593 and 49207840246602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49207840246651) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 74670470455 + ... + 74670471113.

It is an arithmetic number, because the mean of its divisors is an integer number (65181916800).

Almost surely, 2^{49207840246656} is an apocalyptic number.

49207840246656 is a gapful number since it is divisible by the number (46) 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 49207840246656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100119424204800).

49207840246656 is an abundant number, since it is smaller than the sum of its proper divisors (151031008162944).

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

49207840246656 is a wasteful number, since it uses less digits than its factorization.

49207840246656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 49207840246656 in words is "forty-nine trillion, two hundred seven billion, eight hundred forty million, two hundred forty-six thousand, six hundred fifty-six".