4629436915712 has 224 divisors, whose sum is σ = 10695828971520. Its totient is φ = 1962621665280.

The previous prime is 4629436915637. The next prime is 4629436915721. The reversal of 4629436915712 is 2175196349264.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2193005537 + ... + 2193007647.

It is an arithmetic number, because the mean of its divisors is an integer number (47749236480).

Almost surely, 2^{4629436915712} 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 4629436915712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347914485760).

4629436915712 is an abundant number, since it is smaller than the sum of its proper divisors (6066392055808).

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

4629436915712 is a wasteful number, since it uses less digits than its factorization.

4629436915712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2516 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 59.

The spelling of 4629436915712 in words is "four trillion, six hundred twenty-nine billion, four hundred thirty-six million, nine hundred fifteen thousand, seven hundred twelve".