4746049995456 has 1008 divisors, whose sum is σ = 17966816195328. Its totient is φ = 1163513548800.

The previous prime is 4746049995409. The next prime is 4746049995457. The reversal of 4746049995456 is 6545999406474.

It is a happy number.

4746049995456 is a `hidden beast` number, since 4 + 7 + 4 + 6 + 0 + 499 + 95 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (4746049995457) 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 143 ways as a sum of consecutive naturals, for example, 7381103871 + ... + 7381104513.

It is an arithmetic number, because the mean of its divisors is an integer number (17824222416).

Almost surely, 2^{4746049995456} 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 4746049995456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8983408097664).

4746049995456 is an abundant number, since it is smaller than the sum of its proper divisors (13220766199872).

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

4746049995456 is a wasteful number, since it uses less digits than its factorization.

4746049995456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 4746049995456 in words is "four trillion, seven hundred forty-six billion, forty-nine million, nine hundred ninety-five thousand, four hundred fifty-six".