49901763749376 has 960 divisors, whose sum is σ = 175597129635840. Its totient is φ = 12542603673600.

The previous prime is 49901763749249. The next prime is 49901763749419. The reversal of 49901763749376 is 67394736710994.

It is a super-2 number, since 2×49901763749376² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49901763749298 and 49901763749307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3105459870 + ... + 3105475938.

It is an arithmetic number, because the mean of its divisors is an integer number (182913676704).

Almost surely, 2^{49901763749376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49901763749376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87798564817920).

49901763749376 is an abundant number, since it is smaller than the sum of its proper divisors (125695365886464).

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

49901763749376 is a wasteful number, since it uses less digits than its factorization.

49901763749376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16168 (or 16123 counting only the distinct ones).

The product of its (nonzero) digits is 1296243648, while the sum is 75.

The spelling of 49901763749376 in words is "forty-nine trillion, nine hundred one billion, seven hundred sixty-three million, seven hundred forty-nine thousand, three hundred seventy-six".