47145351456 has 720 divisors, whose sum is σ = 173591199936. Its totient is φ = 12335099904.

The previous prime is 47145351433. The next prime is 47145351469. The reversal of 47145351456 is 65415354174.

It is a happy number.

47145351456 is a `hidden beast` number, since 4 + 7 + 145 + 3 + 51 + 456 = 666.

It is a super-2 number, since 2×47145351456² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1274198670 + ... + 1274198706.

Almost surely, 2^47145351456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47145351456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86795599968).

47145351456 is an abundant number, since it is smaller than the sum of its proper divisors (126445848480).

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

47145351456 is an frugal number, since it uses more digits than its factorization.

47145351456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 66 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 47145351456 in words is "forty-seven billion, one hundred forty-five million, three hundred fifty-one thousand, four hundred fifty-six".