4761242348016 has 240 divisors, whose sum is σ = 15611412769920. Its totient is φ = 1236475215360.

The previous prime is 4761242347993. The next prime is 4761242348021. The reversal of 4761242348016 is 6108432421674.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201505195 + ... + 201528821.

It is an arithmetic number, because the mean of its divisors is an integer number (65047553208).

Almost surely, 2^{4761242348016} 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 4761242348016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805706384960).

4761242348016 is an abundant number, since it is smaller than the sum of its proper divisors (10850170421904).

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

4761242348016 is a wasteful number, since it uses less digits than its factorization.

4761242348016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31452 (or 31439 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 4761242348016 in words is "four trillion, seven hundred sixty-one billion, two hundred forty-two million, three hundred forty-eight thousand, sixteen".