47311949228544 has 5400 divisors, whose sum is σ = 210227633921844. Its totient is φ = 10484387020800.

The previous prime is 47311949228527. The next prime is 47311949228573. The reversal of 47311949228544 is 44582294911374.

It is a happy number.

47311949228544 is a `hidden beast` number, since 4 + 7 + 3 + 119 + 492 + 28 + 5 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37325843622144 + 9986105606400 = 6109488^2 + 3160080^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (69672960) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 1153949981164 + ... + 1153949981204.

Almost surely, 2^{47311949228544} is an apocalyptic number.

47311949228544 is a gapful number since it is divisible by the number (44) 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 47311949228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105113816960922).

47311949228544 is an abundant number, since it is smaller than the sum of its proper divisors (162915684693300).

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

47311949228544 is a wasteful number, since it uses less digits than its factorization.

47311949228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 96 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 47311949228544 in words is "forty-seven trillion, three hundred eleven billion, nine hundred forty-nine million, two hundred twenty-eight thousand, five hundred forty-four".