47606567145984 has 1200 divisors, whose sum is σ = 183379800843360. Its totient is φ = 12155423293440.

The previous prime is 47606567145961. The next prime is 47606567146051. The reversal of 47606567145984 is 48954176560674.

47606567145984 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 6 + 567 + 1 + 4 + 59 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1318833024 + ... + 1318869120.

Almost surely, 2^{47606567145984} is an apocalyptic number.

47606567145984 is a gapful number since it is divisible by the number (44) 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 47606567145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91689900421680).

47606567145984 is an abundant number, since it is smaller than the sum of its proper divisors (135773233697376).

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

47606567145984 is a wasteful number, since it uses less digits than its factorization.

47606567145984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36211 (or 36179 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 47606567145984 in words is "forty-seven trillion, six hundred six billion, five hundred sixty-seven million, one hundred forty-five thousand, nine hundred eighty-four".