4994611961472 has 384 divisors, whose sum is σ = 17397767088000. Its totient is φ = 1342639964160.

The previous prime is 4994611961453. The next prime is 4994611961477. The reversal of 4994611961472 is 2741691164994.

4994611961472 is a `hidden beast` number, since 4 + 9 + 9 + 4 + 6 + 1 + 1 + 9 + 614 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4994611961472² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4994611961477) 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 47 ways as a sum of consecutive naturals, for example, 723958279 + ... + 723965177.

It is an arithmetic number, because the mean of its divisors is an integer number (45306685125).

Almost surely, 2^{4994611961472} is an apocalyptic number.

4994611961472 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 4994611961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8698883544000).

4994611961472 is an abundant number, since it is smaller than the sum of its proper divisors (12403155126528).

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

4994611961472 is a wasteful number, since it uses less digits than its factorization.

4994611961472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12224 (or 12209 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 4994611961472 in words is "four trillion, nine hundred ninety-four billion, six hundred eleven million, nine hundred sixty-one thousand, four hundred seventy-two".