47977013919744 has 3600 divisors, whose sum is σ = 197428357526400. Its totient is φ = 11461592088576.

The previous prime is 47977013919721. The next prime is 47977013919761. The reversal of 47977013919744 is 44791931077974.

47977013919744 is a `hidden beast` number, since 47 + 9 + 7 + 70 + 1 + 391 + 97 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 465796251597 + ... + 465796251699.

It is an arithmetic number, because the mean of its divisors is an integer number (54841210424).

Almost surely, 2^{47977013919744} 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 47977013919744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98714178763200).

47977013919744 is an abundant number, since it is smaller than the sum of its proper divisors (149451343606656).

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

47977013919744 is a wasteful number, since it uses less digits than its factorization.

47977013919744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 72.

The spelling of 47977013919744 in words is "forty-seven trillion, nine hundred seventy-seven billion, thirteen million, nine hundred nineteen thousand, seven hundred forty-four".