47026162368000 has 480 divisors, whose sum is σ = 171056655012672. Its totient is φ = 12416133120000.

The previous prime is 47026162367999. The next prime is 47026162368019. The reversal of 47026162368000 is 86326162074.

47026162368000 is a `hidden beast` number, since 4 + 7 + 0 + 2 + 616 + 23 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×47026162368000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57771829 + ... + 58580171.

Almost surely, 2^{47026162368000} is an apocalyptic number.

47026162368000 is a gapful number since it is divisible by the number (40) 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 47026162368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85528327506336).

47026162368000 is an abundant number, since it is smaller than the sum of its proper divisors (124030492644672).

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

47026162368000 is a wasteful number, since it uses less digits than its factorization.

47026162368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808483 (or 808454 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 47026162368000 in words is "forty-seven trillion, twenty-six billion, one hundred sixty-two million, three hundred sixty-eight thousand".