46882547712 has 1152 divisors, whose sum is σ = 191362953600. Its totient is φ = 11240570880.

The previous prime is 46882547641. The next prime is 46882547717. The reversal of 46882547712 is 21774528864.

46882547712 is a `hidden beast` number, since 4 + 6 + 8 + 82 + 547 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46882547717) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3606349818 + ... + 3606349830.

It is an arithmetic number, because the mean of its divisors is an integer number (166113675).

Almost surely, 2^46882547712 is an apocalyptic number.

46882547712 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 46882547712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95681476800).

46882547712 is an abundant number, since it is smaller than the sum of its proper divisors (144480405888).

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

46882547712 is a wasteful number, since it uses less digits than its factorization.

46882547712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 36 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 46882547712 in words is "forty-six billion, eight hundred eighty-two million, five hundred forty-seven thousand, seven hundred twelve".