47456132774600 has 192 divisors, whose sum is σ = 121455342432000. Its totient is φ = 17101137152000.

The previous prime is 47456132774593. The next prime is 47456132774621. The reversal of 47456132774600 is 647723165474.

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, 141113852 + ... + 141449748.

It is an arithmetic number, because the mean of its divisors is an integer number (632579908500).

Almost surely, 2^{47456132774600} is an apocalyptic number.

47456132774600 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 47456132774600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60727671216000).

47456132774600 is an abundant number, since it is smaller than the sum of its proper divisors (73999209657400).

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

47456132774600 is a wasteful number, since it uses less digits than its factorization.

47456132774600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336504 (or 336495 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 56.

The spelling of 47456132774600 in words is "forty-seven trillion, four hundred fifty-six billion, one hundred thirty-two million, seven hundred seventy-four thousand, six hundred".