47927009228436 has 1344 divisors, whose sum is σ = 152092145479680. Its totient is φ = 13080849408000.

The previous prime is 47927009228431. The next prime is 47927009228453. The reversal of 47927009228436 is 63482290072974.

47927009228436 is a `hidden beast` number, since 4 + 7 + 92 + 7 + 0 + 0 + 92 + 28 + 436 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47927009228431) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 67598038050 + ... + 67598038758.

It is an arithmetic number, because the mean of its divisors is an integer number (113163798720).

Almost surely, 2^{47927009228436} is an apocalyptic number.

47927009228436 is a gapful number since it is divisible by the number (46) 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 47927009228436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76046072739840).

47927009228436 is an abundant number, since it is smaller than the sum of its proper divisors (104165136251244).

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

47927009228436 is a wasteful number, since it uses less digits than its factorization.

47927009228436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 47927009228436 in words is "forty-seven trillion, nine hundred twenty-seven billion, nine million, two hundred twenty-eight thousand, four hundred thirty-six".