49809979261224 has 2304 divisors, whose sum is σ = 188880342220800. Its totient is φ = 11899361230848.

The previous prime is 49809979261181. The next prime is 49809979261279. The reversal of 49809979261224 is 42216297990894.

49809979261224 is a `hidden beast` number, since 498 + 0 + 9 + 9 + 7 + 9 + 2 + 6 + 122 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 392204561049 + ... + 392204561175.

It is an arithmetic number, because the mean of its divisors is an integer number (81979315200).

Almost surely, 2^{49809979261224} 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 49809979261224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94440171110400).

49809979261224 is an abundant number, since it is smaller than the sum of its proper divisors (139070362959576).

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

49809979261224 is a wasteful number, since it uses less digits than its factorization.

49809979261224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 49809979261224 in words is "forty-nine trillion, eight hundred nine billion, nine hundred seventy-nine million, two hundred sixty-one thousand, two hundred twenty-four".