47261451953664 has 240 divisors, whose sum is σ = 151486302805200. Its totient is φ = 14541984497664.

The previous prime is 47261451953647. The next prime is 47261451953671. The reversal of 47261451953664 is 46635915416274.

47261451953664 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 1 + 4 + 519 + 53 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7778529 + ... + 12451040.

It is an arithmetic number, because the mean of its divisors is an integer number (631192928355).

Almost surely, 2^{47261451953664} is an apocalyptic number.

It is an amenable number.

47261451953664 is an abundant number, since it is smaller than the sum of its proper divisors (104224850851536).

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

47261451953664 is a wasteful number, since it uses less digits than its factorization.

47261451953664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20229622 (or 20229587 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 47261451953664 in words is "forty-seven trillion, two hundred sixty-one billion, four hundred fifty-one million, nine hundred fifty-three thousand, six hundred sixty-four".