47541958353792 has 192 divisors, whose sum is σ = 156366839672160. Its totient is φ = 13582021939200.

The previous prime is 47541958353767. The next prime is 47541958353793. The reversal of 47541958353792 is 29735385914574.

47541958353792 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 1 + 9 + 5 + 83 + 537 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×47541958353792² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47541958353792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47541958353793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79543938 + ... + 80139390.

Almost surely, 2^{47541958353792} is an apocalyptic number.

47541958353792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47541958353792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78183419836080).

47541958353792 is an abundant number, since it is smaller than the sum of its proper divisors (108824881318368).

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

47541958353792 is a wasteful number, since it uses less digits than its factorization.

47541958353792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605381 (or 605366 counting only the distinct ones).

The product of its digits is 1143072000, while the sum is 72.

The spelling of 47541958353792 in words is "forty-seven trillion, five hundred forty-one billion, nine hundred fifty-eight million, three hundred fifty-three thousand, seven hundred ninety-two".