47426892484608 has 3744 divisors, whose sum is σ = 194908663971840. Its totient is φ = 11377315676160.

The previous prime is 47426892484547. The next prime is 47426892484613. The reversal of 47426892484608 is 80648429862474.

47426892484608 is a `hidden beast` number, since 4 + 7 + 4 + 2 + 6 + 8 + 9 + 2 + 4 + 8 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-3 number, since 3×47426892484608³ (a number of 42 digits) contains 333 as substring.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 373440098241 + ... + 373440098367.

Almost surely, 2^{47426892484608} is an apocalyptic number.

47426892484608 is a gapful number since it is divisible by the number (48) 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 47426892484608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97454331985920).

47426892484608 is an abundant number, since it is smaller than the sum of its proper divisors (147481771487232).

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

47426892484608 is a wasteful number, since it uses less digits than its factorization.

47426892484608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1189085184, while the sum is 72.

The spelling of 47426892484608 in words is "forty-seven trillion, four hundred twenty-six billion, eight hundred ninety-two million, four hundred eighty-four thousand, six hundred eight".