46876743742752 has 1260 divisors, whose sum is σ = 177118704580230. Its totient is φ = 12171430656000.

The previous prime is 46876743742711. The next prime is 46876743742883. The reversal of 46876743742752 is 25724734767864.

46876743742752 is a `hidden beast` number, since 4 + 6 + 87 + 6 + 7 + 437 + 42 + 75 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39839374680336 + 7037369062416 = 6311844^2 + 2652804^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 16735715752 + ... + 16735718552.

Almost surely, 2^{46876743742752} is an apocalyptic number.

46876743742752 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 46876743742752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88559352290115).

46876743742752 is an abundant number, since it is smaller than the sum of its proper divisors (130241960837478).

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

46876743742752 is an frugal number, since it uses more digits than its factorization.

46876743742752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2824 counting only the distinct ones).

The product of its digits is 2655313920, while the sum is 72.

The spelling of 46876743742752 in words is "forty-six trillion, eight hundred seventy-six billion, seven hundred forty-three million, seven hundred forty-two thousand, seven hundred fifty-two".