47514301968 has 240 divisors, whose sum is σ = 151528872960. Its totient is φ = 12764328192.

The previous prime is 47514301957. The next prime is 47514301993. The reversal of 47514301968 is 86910341574.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3184221 + ... + 3199107.

It is an arithmetic number, because the mean of its divisors is an integer number (631370304).

Almost surely, 2^47514301968 is an apocalyptic number.

47514301968 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 47514301968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75764436480).

47514301968 is an abundant number, since it is smaller than the sum of its proper divisors (104014570992).

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

47514301968 is a wasteful number, since it uses less digits than its factorization.

47514301968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14994 (or 14981 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 47514301968 in words is "forty-seven billion, five hundred fourteen million, three hundred one thousand, nine hundred sixty-eight".