47634452042053 has 48 divisors (see below), whose sum is σ = 52611655562928. Its totient is φ = 42974049484800.

The previous prime is 47634452042039. The next prime is 47634452042063. The reversal of 47634452042053 is 35024025443674.

It can be written as a sum of positive squares in 8 ways, for example, as 326701410084 + 47307750631969 = 571578^2 + 6878063^2 .

It is not a de Polignac number, because 47634452042053 - 2²¹ = 47634449944901 is a prime.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47634452041988 and 47634452042006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47634452042063) 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, 3125407513 + ... + 3125422753.

It is an arithmetic number, because the mean of its divisors is an integer number (1096076157561).

Almost surely, 2^{47634452042053} is an apocalyptic number.

It is an amenable number.

47634452042053 is a deficient number, since it is larger than the sum of its proper divisors (4977203520875).

47634452042053 is a wasteful number, since it uses less digits than its factorization.

47634452042053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17126 (or 17095 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 49.

The spelling of 47634452042053 in words is "forty-seven trillion, six hundred thirty-four billion, four hundred fifty-two million, forty-two thousand, fifty-three".