4701494109312 has 3072 divisors, whose sum is σ = 20119692902400. Its totient is φ = 1053455155200.

The previous prime is 4701494109307. The next prime is 4701494109313. The reversal of 4701494109312 is 2139014941074.

4701494109312 is a `hidden beast` number, since 4 + 7 + 0 + 149 + 410 + 93 + 1 + 2 = 666.

It is a super-2 number, since 2×4701494109312² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4701494109313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37019638593 + ... + 37019638719.

It is an arithmetic number, because the mean of its divisors is an integer number (6549379200).

Almost surely, 2^{4701494109312} is an apocalyptic number.

4701494109312 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 4701494109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10059846451200).

4701494109312 is an abundant number, since it is smaller than the sum of its proper divisors (15418198793088).

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

4701494109312 is a wasteful number, since it uses less digits than its factorization.

4701494109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 4701494109312 in words is "four trillion, seven hundred one billion, four hundred ninety-four million, one hundred nine thousand, three hundred twelve".