49242332900096 has 288 divisors, whose sum is σ = 123269580779520. Its totient is φ = 19156580352000.

The previous prime is 49242332900081. The next prime is 49242332900147. The reversal of 49242332900096 is 69000923324294.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106373330 + ... + 106835246.

Almost surely, 2^{49242332900096} 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 49242332900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61634790389760).

49242332900096 is an abundant number, since it is smaller than the sum of its proper divisors (74027247879424).

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

49242332900096 is a wasteful number, since it uses less digits than its factorization.

49242332900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462091 (or 462077 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 53.

The spelling of 49242332900096 in words is "forty-nine trillion, two hundred forty-two billion, three hundred thirty-two million, nine hundred thousand, ninety-six".