49266112896000 has 7040 divisors, whose sum is σ = 254254406934528. Its totient is φ = 9157017600000.

The previous prime is 49266112895981. The next prime is 49266112896001. The reversal of 49266112896000 is 69821166294.

49266112896000 is a `hidden beast` number, since 4 + 9 + 2 + 6 + 6 + 1 + 1 + 28 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49266112896001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 487783295950 + ... + 487783296050.

Almost surely, 2^{49266112896000} is an apocalyptic number.

49266112896000 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 49266112896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127127203467264).

49266112896000 is an abundant number, since it is smaller than the sum of its proper divisors (204988294038528).

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

49266112896000 is a wasteful number, since it uses less digits than its factorization.

49266112896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 49266112896000 in words is "forty-nine trillion, two hundred sixty-six billion, one hundred twelve million, eight hundred ninety-six thousand".