49274392526128 has 240 divisors, whose sum is σ = 125071155674784. Its totient is φ = 18582150021120.

The previous prime is 49274392526113. The next prime is 49274392526129. The reversal of 49274392526128 is 82162529347294.

It is a super-3 number, since 3×49274392526128³ (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 49274392526128.

It is not an unprimeable number, because it can be changed into a prime (49274392526129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61183926 + ... + 61984042.

Almost surely, 2^{49274392526128} 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 49274392526128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62535577837392).

49274392526128 is an abundant number, since it is smaller than the sum of its proper divisors (75796763148656).

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

49274392526128 is a wasteful number, since it uses less digits than its factorization.

49274392526128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800380 (or 800367 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 64.

The spelling of 49274392526128 in words is "forty-nine trillion, two hundred seventy-four billion, three hundred ninety-two million, five hundred twenty-six thousand, one hundred twenty-eight".