4801735912512 has 168 divisors, whose sum is σ = 15959489186368. Its totient is φ = 1247204090880.

The previous prime is 4801735912483. The next prime is 4801735912517. The reversal of 4801735912512 is 2152195371084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4801735912517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14600683 + ... + 14925930.

Almost surely, 2^{4801735912512} is an apocalyptic number.

4801735912512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4801735912512 is an abundant number, since it is smaller than the sum of its proper divisors (11157753273856).

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

4801735912512 is a wasteful number, since it uses less digits than its factorization.

4801735912512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29526657 (or 29526636 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 4801735912512 in words is "four trillion, eight hundred one billion, seven hundred thirty-five million, nine hundred twelve thousand, five hundred twelve".