47624756040451 has 16 divisors (see below), whose sum is σ = 48832285765120. Its totient is φ = 46421857913760.

The previous prime is 47624756040439. The next prime is 47624756040497. The reversal of 47624756040451 is 15404065742674.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-47624756040451 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47624756040392 and 47624756040401.

It is not an unprimeable number, because it can be changed into a prime (47624756040401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45468406 + ... + 46504036.

It is an arithmetic number, because the mean of its divisors is an integer number (3052017860320).

Almost surely, 2^{47624756040451} is an apocalyptic number.

47624756040451 is a deficient number, since it is larger than the sum of its proper divisors (1207529724669).

47624756040451 is a wasteful number, since it uses less digits than its factorization.

47624756040451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037866.

The product of its (nonzero) digits is 22579200, while the sum is 55.

The spelling of 47624756040451 in words is "forty-seven trillion, six hundred twenty-four billion, seven hundred fifty-six million, forty thousand, four hundred fifty-one".