47967818491992 has 256 divisors, whose sum is σ = 140781957120000. Its totient is φ = 13337089758720.

The previous prime is 47967818491949. The next prime is 47967818492021. The reversal of 47967818491992 is 29919481876974.

It is a super-2 number, since 2×47967818491992² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4880228934 + ... + 4880238762.

It is an arithmetic number, because the mean of its divisors is an integer number (549929520000).

Almost surely, 2^{47967818491992} is an apocalyptic number.

47967818491992 is a gapful number since it is divisible by the number (42) 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 47967818491992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70390978560000).

47967818491992 is an abundant number, since it is smaller than the sum of its proper divisors (92814138628008).

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

47967818491992 is a wasteful number, since it uses less digits than its factorization.

47967818491992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15174 (or 15170 counting only the distinct ones).

The product of its digits is 3950456832, while the sum is 84.

The spelling of 47967818491992 in words is "forty-seven trillion, nine hundred sixty-seven billion, eight hundred eighteen million, four hundred ninety-one thousand, nine hundred ninety-two".