46783320753312 has 480 divisors, whose sum is σ = 170149889891520. Its totient is φ = 12397492039680.

The previous prime is 46783320753283. The next prime is 46783320753329. The reversal of 46783320753312 is 21335702338764.

46783320753312 is a `hidden beast` number, since 4 + 6 + 7 + 83 + 3 + 20 + 7 + 533 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3720948 + ... + 10363980.

It is an arithmetic number, because the mean of its divisors is an integer number (354478937274).

Almost surely, 2^{46783320753312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46783320753312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85074944945760).

46783320753312 is an abundant number, since it is smaller than the sum of its proper divisors (123366569138208).

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

46783320753312 is a wasteful number, since it uses less digits than its factorization.

46783320753312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643098 (or 6643081 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 46783320753312 in words is "forty-six trillion, seven hundred eighty-three billion, three hundred twenty million, seven hundred fifty-three thousand, three hundred twelve".