49126191762816 has 512 divisors, whose sum is σ = 183079010764800. Its totient is φ = 12636036661248.

The previous prime is 49126191762803. The next prime is 49126191762829. The reversal of 49126191762816 is 61826719162194.

49126191762816 is a `hidden beast` number, since 4 + 9 + 1 + 2 + 619 + 1 + 7 + 6 + 2 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (49126191762803) and next prime (49126191762829).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6862296 + ... + 12055848.

It is an arithmetic number, because the mean of its divisors is an integer number (357576192900).

Almost surely, 2^{49126191762816} is an apocalyptic number.

49126191762816 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 49126191762816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91539505382400).

49126191762816 is an abundant number, since it is smaller than the sum of its proper divisors (133952819001984).

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

49126191762816 is a wasteful number, since it uses less digits than its factorization.

49126191762816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5193623 (or 5193605 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 49126191762816 in words is "forty-nine trillion, one hundred twenty-six billion, one hundred ninety-one million, seven hundred sixty-two thousand, eight hundred sixteen".